Complex Variables and Complex Analysis

[1] Intersection of almost complex submanifolds

Weiyi Zhang University of Warwick

Complex Variables and Complex Analysis Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:2005.08001

Cambridge Journal of Mathematics, 6, (4), 451-496, 2018
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[2] Complete cscK metrics on the local models of the conifold transition

Jixiang Fu Shing-Tung Yau Wubin Zhou

Complex Variables and Complex Analysis mathscidoc:1912.43692

Communications in Mathematical Physics, 335, (3), 1215-1233, 2015.5
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[3] A general Schwarz lemma for Khler mainfolds [J]

Shing-Tung Yau

Complex Variables and Complex Analysis mathscidoc:1912.43684

Amer J Math, 100, (1), 197-203, 1978
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[4] On a borderline class of non-positively curved compact Khler manifolds

Shing-Tung Yau F Zheng

Complex Variables and Complex Analysis mathscidoc:1912.43678

Mathematische Zeitschrift, 212, (1), 587-599, 1993.1
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[5] A special Lagrangian type equation for holomorphic line bundles

Adam Jacob Shing-Tung Yau

Complex Variables and Complex Analysis mathscidoc:1912.43584

Mathematische Annalen, 369, 869-898, 2017.10
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[6] Parallelizable manifolds without complex structure

Shing-Tung Yau

Complex Variables and Complex Analysis mathscidoc:1912.43583

Topology, 15, (1), 51-53, 1976.1
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[7] Curvature and holomorphic mappings of complete Khler manifolds

Peter Li Shing-Tung Yau

Complex Variables and Complex Analysis mathscidoc:1912.43571

Compositio Mathematica, 73, (2), 125-144, 1990
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[8] The strong rigidity of locally symmetric complex manifolds of rank one and finite volume

Jrgen Jost Shing-Tung Yau

Complex Variables and Complex Analysis mathscidoc:1912.43568

Mathematische Annalen, 275, (2), 291-304, 1986.6
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[9] Holomorphic curves in surfaces of general type

SS Lu Shing-Tung Yau

Complex Variables and Complex Analysis mathscidoc:1912.43535

Proceedings of the National Academy of Sciences, 87, (1), 80-82, 1990.1
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[10] Harmonic mappings and Khler manifolds

Jrgen Jost Shing-Tung Yau

Complex Variables and Complex Analysis mathscidoc:1912.43521

Mathematische Annalen, 262, (2), 145-166
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[11] Computing conformal structure of surfaces

Xianfeng Gu Shing-Tung Yau

Complex Variables and Complex Analysis mathscidoc:1912.43484

arXiv preprint cs/0212043, 2002.12
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[12] Compact Khler manifolds of positive bisectional curvature

Yum-Tong Siu Shing-Tung Yau

Complex Variables and Complex Analysis mathscidoc:1912.43473

Inventiones mathematicae, 59, (2), 189-204, 1980.6
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[13] Interface asymptotics of Partial Bergman kernels around a critical level

Steve Zelditch Northwestern University Peng Zhou Northwestern University

Complex Variables and Complex Analysis mathscidoc:1912.43048

Arkiv for Matematik, 57, (2), 471 – 492, 2019
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[14] A Cantor set whose polynomial hull contains no analytic discs

Alexander J. Izzo Bowling Green State University Norman Levenberg Indiana University

Complex Variables and Complex Analysis mathscidoc:1912.43042

Arkiv for Matematik, 57, (2), 373-379, 2019
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[15] Pluripotential theory and convex bodies: large deviation principle

Turgay Bayraktar Sabanci University Thomas Bloom University of Toronto Norman Levenberg Indiana University Chinh H. Lu Université Paris-Sud

Complex Variables and Complex Analysis mathscidoc:1912.43038

Arkiv for Matematik, 57, (2), 247-283, 2019
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[16] Flexible and inflexible CR submanifolds

Judith Brinkschulte Universität Leipzig C. Denson Hill Stony Brook University

Complex Variables and Complex Analysis mathscidoc:1912.43027

Arkiv for Matematik, 57, (1), 23-33, 2019
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[17] On dicritical singularities of Levi-flat sets

Sergey Pinchuk Indiana University Rasul Shafikov University of Western Ontario Alexandre Sukhov Université de Lille

Complex Variables and Complex Analysis mathscidoc:1912.43023

Arkiv for Matematik, 56, (2), 2016
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[18] A uniform boundedness principle in pluripotential theory

Łukasz Kosiński Jagiellonian University Étienne Martel Université Laval Thomas Ransford Université Laval

Complex Variables and Complex Analysis mathscidoc:1912.43007

Arkiv for Matematik, 56, (1), 101 – 109, 2017
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[19] Integrable deformations of local analytic fibrations with singularities

Dominique Cerveau Université de Rennes I Bruno Scárdua Universidade Federal do Rio de Janeiro

Complex Variables and Complex Analysis mathscidoc:1912.43003

Arkiv for Matematik, 56, (1), 33-44, 2018
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[20] Deformations of hypercomplex structures associated to Heisenberg groups

Gueo Grantcharov Henrik Pedersen Yat Sun Poon

Complex Variables and Complex Analysis mathscidoc:1910.43827

Quarterly Journal of Mathematics, 59, (3), 335-362, 2008.9
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[21] Weak mirror symmetry of complex symplectic Lie algebras

Richard Cleyton Yat Sun Poon Gabriela P Ovando

Complex Variables and Complex Analysis mathscidoc:1910.43825

Journal of Geometry and Physics, 61, (8), 1553-1563, 2011.8
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[22] Potential 1-forms for hyper-Khler structures with torsion

Liviu Ornea Yat Sun Poon Andrew Swann

Complex Variables and Complex Analysis mathscidoc:1910.43819

Classical and Quantum Gravity, 20, (9), 1845, 2003.4
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[23] Differential Gerstenhaber algebras associated to nilpotent algebras

Richard Cleyton Yat Sun Poon

Complex Variables and Complex Analysis mathscidoc:1910.43818

Asian Journal of Mathematics, 12, (2), 225-250, 2008
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[24] Superconformal symmetry and hyperKhler manifolds with torsion

Yat Sun Poon Andrew Swann

Complex Variables and Complex Analysis mathscidoc:1910.43814

Communications in mathematical physics, 241, (1), 177-189, 2003.10
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[25] Weak mirror symmetry of Lie algebras

Richard Cleyton Jorge Lauret Yat Sun Poon

Complex Variables and Complex Analysis mathscidoc:1910.43813

Journal of Symplectic Geometry, 8, (1), 37-55, 2010
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[26] Extended deformation of Kodaira surfaces

Yat Sun Poon

Complex Variables and Complex Analysis mathscidoc:1910.43807

Journal fur die reine und angewandte Mathematik (Crelles Journal), 2006, (590), 45-65, 2006.1
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[27] Projective embeddings of complex supermanifolds

Claude LeBrun Yat Sun Poon RO Wells

Complex Variables and Complex Analysis mathscidoc:1910.43806

Communications in mathematical physics, 126, (3), 433-452, 1990.1
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[28] Algebraic dimension of twistor spaces

Yat Sun Poon

Complex Variables and Complex Analysis mathscidoc:1910.43799

Mathematische Annalen, 282, (4), 621-627, 1988.12
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[29] Duality and YangMills fields on quaternionic Khler manifolds

Krzysztof Galicki Yat Sun Poon

Complex Variables and Complex Analysis mathscidoc:1910.43798

Journal of mathematical physics, 32, (5), 1263-1268, 1991.5
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[30] Hypercomplex structures associated to quaternionic manifolds

Henrik Pedersen Yat Sun Poon AF Swann

Complex Variables and Complex Analysis mathscidoc:1910.43797

Differential Geometry and its Applications, 9, (3), 273-292, 1998.12
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[31] Self-duality and differentiable structures on the connected sum of complex projective planes

Henrik Pedersen Yat Sun Poon

Complex Variables and Complex Analysis mathscidoc:1910.43796

Proceedings of the American Mathematical Society, 121, (3), 859-864, 1994
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[32] On the positivity of the logarithmic cotangent bundle

Damian Brotbek Centre de mathématique Laurent Schwartz, École polytechnique Ya Deng Institut de Recherche Mathématique Avancée, Université de Strasbourg

Complex Variables and Complex Analysis mathscidoc:1906.01009

Annales de l'Institut Fourier, 68, (7), 3001-3051, 2018
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[33] Kobayashi hyperbolicity of the complements of general hypersurfaces of high degree

Damian Brotbek Centre de Mathématiques Laurent Schwartz, École polytechnique Ya Deng Institut de Recherche Mathématique Avancée, Université de Strasbourg

Complex Variables and Complex Analysis mathscidoc:1906.01008

Geometric And Functional Analysis, 29, 690-750, 2019.6
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[34] The Fu–Yau equation with negative slope parameter

Duong Phong Columbia University Sebastien Picard Columbia University Xiangwen Zhang University of California, Irvine

Analysis of PDEs Complex Variables and Complex Analysis Differential Geometry mathscidoc:1810.03001

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[35] Calabi-Yau manifolds with isolated conical singularities

Hans-Joachim Hein Fordham University Song Sun Stony Brook University

Analysis of PDEs Complex Variables and Complex Analysis Differential Geometry Geometric Analysis and Geometric Topology Mathematical Physics Symplectic Geometry mathscidoc:1806.01002

Publications mathématiques de l'IHÉS, 126, (1), 73-130, 2017.11
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[36] A proof of Demailly's strong openness conjecture

Qi'an Guan Beijing International Center for Mathematical Research, and School of Mathematical Sciences, Peking University Xiangyu Zhou Institute of Mathematics, AMSS, and Hua Loo-Keng Key Laboratory of Mathematics, Chinese Academy of Sciences

Complex Variables and Complex Analysis mathscidoc:1806.01001

Annals of Mathematics, 2015
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[37] Szeg\"{o} kernel asymptotics for high power of CR line bundles and Kodaira embedding theorems on CR manifolds

Chin-Yu Hsiao Institute of Mathematics, Academia Sinica, Taiwan

Complex Variables and Complex Analysis mathscidoc:1803.08008

Memoirs of the American Mathematical Society, 254, (1217), 1--146pp, 2018.6
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[38] On CR Paneitz operators and CR pluriharmonic functions

Chin-Yu Hsiao Institute of Mathematics, Academia Sinica, Taiwan

Complex Variables and Complex Analysis mathscidoc:1803.08007

Math. Ann. , 362, (3), 903-929
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[39] Asymptotics of spectral function of lower energy forms and Bergman kernel of semi-positive and big line bundles

Chin-Yu Hsiao Institute of Mathematics, Academia Sinica, Taiwan George Marinescu University of Cologne, Germany

Complex Variables and Complex Analysis mathscidoc:1803.08006

Comm. Anal. Geom. , 22, (1), 1-108, 2014
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[40] Berezin-Toeplitz quantization for lower energy forms

Chin-Yu Hsiao InInstitute of Mathematics, Academia Sinica, Taiwan George Marinescu University of Cologne, Germany

Complex Variables and Complex Analysis mathscidoc:1803.08005

Comm. Partial Differential Equations , 42, (6), 895-942, 2017
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[41] Solving the Kohn Laplacian on asymptotically flat CR manifolds of dimension 3

Chin-Yu Hsiao Institute of Mathematics, Academia Sinica, Taiwan Po Lam Yung Department of Mathematics, the Chinese University of Hong Kong

Complex Variables and Complex Analysis mathscidoc:1803.08004

Adv. Math. , 281, 734-822, 2015
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[42] On the singularities of the Szeg\H{o} projections on lower energy forms

Chin-Yu Hsiao Institute of Mathematics, Academia Sinica, Taiwan George Marinescu University of Cologne, Germany

Complex Variables and Complex Analysis mathscidoc:1803.08003

J. Differential Geom, 107, (1), 83-155, 2017
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[43] Thom-Sebastiani properties of Kohn-Rossi cohomology of compact connected strongly pseudoconvex CR manifolds

Stephen Yau Tsinghua University Huaiqing Zuo Tsinghua University

Complex Variables and Complex Analysis mathscidoc:1803.08001

SCIENCE CHINA Mathematics, 60, (6), 1129-1136, 2017.6
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[44] A note on approximation of plurisubharmonic functions

Håkan Persson Uppsala University Jan Wiegerinck University of Amsterdam

Complex Variables and Complex Analysis Functional Analysis mathscidoc:1803.43018

Arkiv for Matematik, 55, 2017
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[45] Equivariant L2-Euler characteristics of G-CW-complexes

Jang Hyun Jo Sogang University

Complex Variables and Complex Analysis Rings and Algebras mathscidoc:1803.43013

Arkiv for Matematik, 55, 2017
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[46] Approximations and examples of singular Hermitian metrics on vector bundles

Genki Hosono The University of Tokyo

Complex Variables and Complex Analysis Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1803.43012

Arkiv for Matematik, 55, 2017
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[47] Almost Kähler forms on rational 4-manifolds

Tianjun Li University of Minnesota Weiyi Zhang University of Warwick

Complex Variables and Complex Analysis Symplectic Geometry mathscidoc:1705.01001

Amer. J. Math., 137, (5), 1209–1256, 2015
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[48] On boundary accumulation points of a convex domain in c^n

LINA LEE University of California, Riverside BRADLEY THOMAS California Baptist University BUN WONG University of California, Riverside

Complex Variables and Complex Analysis mathscidoc:1702.08001

Methods and Applications of Analysis, 21, (4), 427-440, 2014.12
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[49] Singular hermitian metrics on holomorphic vector bundles

Hossein Raufi Department of Mathematics Chalmers Institute of Technology, and University of Gothenburg

Complex Variables and Complex Analysis Differential Geometry mathscidoc:1701.08013

Arkiv for Matematik, 53, (2), 359-382, 2014.1
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[50] On the order map for hypersurface coamoebas

Jens Forsgård Department of Mathematics, Stockholm University Petter Johansson Department of Mathematics, Stockholm University

Complex Variables and Complex Analysis mathscidoc:1701.08012

Arkiv for Matematik, 53, (1), 79-104, 2013.2
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[51] Banach analytic sets and a non-linear version of the Levi extension theorem

Sergey Ivashkovich UFR de Mathématiques, Université de Lille-1

Complex Variables and Complex Analysis mathscidoc:1701.08011

Arkiv for Matematik, 52, (1), 149-173, 2012.4
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[52] An improved Riemann mapping theorem and complexity in potential theory

Steven R. Bell Mathematics Department, Purdue University

Complex Variables and Complex Analysis mathscidoc:1701.08010

Arkiv for Matematik, 51, (2), 223-249, 2011.10
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[53] A new generalization of the Lelong number

Aron Lagerberg Department of Mathematics, Chalmers University of Technology and University of Göteborg

Complex Variables and Complex Analysis mathscidoc:1701.08009

Arkiv for Matematik, 51, (1), 125-156, 2010.8
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[54] Exhausting domains of the symmetrized bidisc

Peter Pflug Institut für Mathematik, Carl von Ossietzky Universität Oldenburg Włodzimierz Zwonek Instytut Matematyki, Uniwersytet Jagielloński

Complex Variables and Complex Analysis Symplectic Geometry mathscidoc:1701.08008

Arkiv for Matematik, 50, (2), 397-402, 2010.8
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[55] On the scaling limit of loop-erased random walk excursion

Fredrik Johansson Viklund Department of Mathematics, Columbia University

Complex Variables and Complex Analysis Probability mathscidoc:1701.08007

Arkiv for Matematik, 50, (2), 331-357, 2010.6
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[56] Residue currents associated with weakly holomorphic functions

Richard Lärkäng Department of Mathematics, Chalmers University of Technology and University of Gothenburg

Complex Variables and Complex Analysis Differential Geometry mathscidoc:1701.08006

Arkiv for Matematik, 50, (1), 135-164, 2009.11
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[57] Extremal$ω$-plurisubharmonic functions as envelopes of disc functionals

Benedikt Steinar Magnússon Science Institute, University of Iceland

Complex Variables and Complex Analysis mathscidoc:1701.01014

Arkiv for Matematik, 49, (2), 383-399, 2009.6
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[58] Ergodic complex structures on hyperkähler manifolds

Misha Verbitsky National Research University Higher School of Economics, Laboratory of Algebraic Geometry, 7 Vavilova Street, Moscow, Russia

Complex Variables and Complex Analysis mathscidoc:1701.08005

Acta Mathematica, 215, (1), 161-182, 2014.6
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[59] Skinning maps are finite-to-one

David Dumas Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago

Complex Variables and Complex Analysis mathscidoc:1701.08004

Acta Mathematica, 215, (1), 55-126, 2012.6
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[60] The thick-thin decomposition and the bilipschitz classification of normal surface singularities

Lev Birbrair Departamento de Matemática, Universidade Federal do Ceará Walter D. Neumann Department of Mathematics, Barnard College, Columbia University Anne Pichon Aix Marseille Université, CNRS, Centrale Marseille, I2M, UMR 7373, Marseille, France

Complex Variables and Complex Analysis mathscidoc:1701.01006

Acta Mathematica, 212, (2), 199-256, 2012.1
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[61] Invariant Peano curves of expanding Thurston maps

Daniel Meyer Jacobs University, Campus Ring 1, Bremen, Germany

Classical Analysis and ODEs Complex Variables and Complex Analysis mathscidoc:1701.05001

Acta Mathematica, 210, (1), 95-171, 2010.11
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[62] Non-realizability and ending laminations: Proof of the density conjecture

Hossein Namazi Department of Mathematics, University of Texas at Austin Juan Souto Department of Mathematics, University of British Columbia

Complex Variables and Complex Analysis Differential Geometry mathscidoc:1701.08003

Acta Mathematica, 209, (2), 323-395, 2010.4
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[63] The Deligne–Mumford compactification of the real multiplication locus and Teichmüller curves in genus 3

Matt Bainbridge Department of Mathematics, Indiana University Martin Möller Institut für Mathematik, Goethe-Universität Frankfurt

Complex Variables and Complex Analysis Geometric Analysis and Geometric Topology mathscidoc:1701.08002

Acta Mathematica, 208, (1), 1-92, 2009.12
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[64] Fekete points and convergence towards equilibrium measures on complex manifolds

Robert Berman Department of Mathematics, Chalmers University of Technology and University of Göteborg Sébastien Boucksom Institut de Mathématiques, CNRS-Université Pierre et Marie Curie David Witt Nyström Department of Mathematics, Chalmers University of Technology and University of Göteborg

Complex Variables and Complex Analysis Differential Geometry mathscidoc:1701.08001

Acta Mathematica, 207, (1), 1-27, 2009.7
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[65] Recent results on rigidity of CR morphisms between compact strongly pseudoconvex CR manifolds

Stephen S.T. Yau Tsinghua University Huaiqing Zuo Tsinghua University

Complex Variables and Complex Analysis mathscidoc:1611.08004

2016.2
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[66] Plurigenera of compact connected strongly pseudoconvex CR manifolds

Kepao Lin Chang Gung University of Science and Technology Stephen S.-T. Yau Tsinghua University Huaiqing Zuo Tsinghua University

Complex Variables and Complex Analysis mathscidoc:1611.08003

2015.3
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[67] On nonuniqueness of geodesic disks in infinite-dimensional Teichmüller spaces

Guowu Yao Tsinghua Uinversity

Complex Variables and Complex Analysis mathscidoc:1611.08002

Monatsh Math. , 181, (1), 235-244, 2016.6
[ Download ] [ 2016-11-23 16:22:44 uploaded by gwyao ] [ 330 downloads ] [ 0 comments ] [ Cited by 1 ] [ Abstract ] [ Full ]
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[68] Gluing quasiconformal mappings in the plane.

Guowu Yao Tsinghua Uinversity

Complex Variables and Complex Analysis mathscidoc:1611.08001

Houston J. Math., 41, (4), 1107-1117, 2015.9
[ Download ] [ 2016-11-23 16:09:38 uploaded by gwyao ] [ 618 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[69] Green function, Painleve VI equation, and Eisenstein series of weight one

Zhijie Chen National Taiwan University and Tsinghua University Ting-Jung Kuo National Taiwan University Chang-Shou Lin National Taiwan University Chin-Lung Wang National Taiwan University

Complex Variables and Complex Analysis mathscidoc:1608.08002

Journal of Differential Geometry, 208, 185-241, 2018
[ Download ] [ 2016-08-19 10:26:07 uploaded by zjchen ] [ 558 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[70] Some torsional local models for heterotic strings

Teng Fei Columbia University

Complex Variables and Complex Analysis mathscidoc:1608.08001

Communications in Analysis and Geometry, 25, (5), 941-968, 2017
[ Download ] [ 2016-08-17 22:48:02 uploaded by boilliod ] [ 464 downloads ] [ 1 comments ] [ Abstract ] [ Full ]
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