Complex Variables and Complex Analysis

[1] Beijing Lectures on the Grade Restriction Rule

Richard Eager Kavli Institute for the Physics and Mathematics of the Universe, Todai Institutes for Advanced Study, University of Tokyo, Kashiwa 277-8583, Japan; Mathematical Institute, Heidelberg University, MATHEMATIKON, Im Neuenheim Feld 205, 69120 Heidelberg, Germany Kentaro Hori Kavli Institute for the Physics and Mathematics of the Universe, Todai Institutes for Advanced Study, University of Tokyo, Kashiwa 277-8583, Japan Johanna Knapp Institute for Theoretical Physics, TU Wien, Wiedner Hauptstrasse 8-10, 1040 Vienna, Austria Mauricio Andrés Romo Jorquera Kavli Institute for the Physics and Mathematics of the Universe, Todai Institutes for Advanced Study, University of Tokyo, Kashiwa 277-8583, Japan; School of Natural Sciences, Institute for Advanced Study, Princeton, NJ 08540, USA

Complex Variables and Complex Analysis Algebraic Geometry mathscidoc:2207.08002

Chinese Annals of Mathematics, Series B, 38, (4), 901–912, 2017.7
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[2] Collapsing of the Chern-Ricci flow on elliptic surfaces

Valentino Tosatti Department of Mathematics, Northwestern University, 2033 Sheridan Road, Evanston, IL 60208, USA Ben Weinkove Department of Mathematics, Northwestern University, 2033 Sheridan Road, Evanston, IL 60208, USA Xiaokui Yang Department of Mathematics, Northwestern University, 2033 Sheridan Road, Evanston, IL 60208, USA

Complex Variables and Complex Analysis Differential Geometry mathscidoc:2207.08001

Mathematische Annalen, 362, 1223–1271, 2014.12
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[3] RC-positive metrics on rationally connected manifolds

Xiaokui Yang

Complex Variables and Complex Analysis Differential Geometry Algebraic Geometry mathscidoc:2206.08002

Forum of Mathematics, Sigma, 8, e53, 1-19, 2020.11
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[4] RC-positivity, vanishing theorems and rigidity of holomorphic maps

Xiaokui Yang Department of Mathematics and Yau Mathematical Sciences Center, Tsinghua University, Beijing 100084, China

Complex Variables and Complex Analysis Differential Geometry Algebraic Geometry mathscidoc:2206.08001

Journal of the Institute of Mathematics of Jussieu, 20, (3), 2019.10
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[5] Equivalent descriptions of the Loewner energy

Yilin Wang Department of Mathematics, ETH, Rämistrasse 101, 8092 Zürich, Switzerland

Complex Variables and Complex Analysis Mathematical Physics Probability mathscidoc:2203.08010

Inventiones Mathematicae, 218, 573-621, 2019.4
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[6] Bi-Hölder extensions of quasi-isometries on complex domains

Jinsong Liu HLM, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China; School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China Hongyu Wang HLM, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China; School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China Qingshan Zhou School of Mathematics and Big Data, Foshan university, Foshan 528000, Guangdong, China

Complex Variables and Complex Analysis mathscidoc:2203.08009

The Journal of Geometric Analysis, 32, (38), 2022.1
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[7] Distance and angles between Teichmüller geodesics

Lixin Liu Department of Mathematics, Sun Yat-sen University, 510275, Guangzhou Weixu Su Department of Mathematics, Fudan University, 200433, Shanghai, PR China Youliang Zhong School of Mathematics, South China University of Technology, 510641, Guangzhou, PR China

Complex Variables and Complex Analysis mathscidoc:2203.08008

Advances in Mathematics, 360, (22), 2020.1
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[8] The local image problem for complex analytic maps

Cezar Joiţa Institute of Mathematics of the Romanian Academy, Bucharest, Romania Mihai Tibăr Laboratoire Paul Painlevé, Université de Lille, France

Complex Variables and Complex Analysis mathscidoc:2203.08007

Arkiv for Matematik, 59, (2), 2021.11
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[9] Pull-back of singular Levi-flat hypersurfaces

Andrés Beltrán Dpto. Ciencias, Sección Matemáticas, Pontifícia Universidad Católica del Perú, Lima, Peru Arturo Fernández-Pérez Departamento de Matemática, Universidade Federal de Minas Gerais, Belo Horizonte, MG, Brasil Hernán Neciosup Dpto. Ciencias, Sección Matemáticas, Pontifícia Universidad Católica del Perú, Lima, Peru

Complex Variables and Complex Analysis mathscidoc:2203.08006

Arkiv for Matematik, 59, (2), 307-321, 2021.11
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[10] Exponential mixing property for automorphisms of compact Kähler manifolds

Hao Wu Department of Mathematics, National University of Singapore

Complex Variables and Complex Analysis Dynamical Systems mathscidoc:2203.08005

Acta Mathematica, 59, (1), 213-227, 2021.5
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[11] On the Hardy number of a domain in terms of harmonic measure and hyperbolic distance

Christina Karafyllia Institute for Mathematical Sciences, Stony Brook University, Stony Brook, New York, U.S.A.

Complex Variables and Complex Analysis mathscidoc:2203.08004

Arkiv for Matematik, 58, (2), 307-331, 2020.11
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[12] On the Kodaira problem for uniruled Kähler spaces

Patrick Graf Department of Mathematics, University of Utah, Salt Lake City, Ut., U.S.A. Martin Schwald Fakultät für Mathematik, Universität Duisburg–Essen, Essen, Germany

Complex Variables and Complex Analysis Algebraic Geometry mathscidoc:2203.08003

Arkiv for Matematik, 58, (2), 267-284, 2020.11
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[13] Invariant curves for holomorphic foliations on singular surfaces

Edileno de Almeida Santos Instituto de Ciência, Engenharia e Tecnologia, Universidade Federal dos Vales do Jequitinhonha e Mucuri (UFVJM), Teófilo Otoni, MG, Brazil

Complex Variables and Complex Analysis mathscidoc:2203.08002

Arkiv for Matematik, 58, (1), 179-195, 2020.4
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[14] A transcendental dynamical degree

Jason P. Bell Department of Pure Mathematics, University of Waterloo, Ontario, Canada Jeffrey Diller Department of Mathematics, University of Notre Dame, Indiana, U.S.A. Mattias Jonsson Department of Mathematics, University of Michigan, Ann Arbor, Mich., U.S.A.

Complex Variables and Complex Analysis Dynamical Systems Number Theory Algebraic Geometry mathscidoc:2203.08001

Acta Mathematica, 225, (2), 193-225, 2020.12
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[15] A necessary and sufficient condition for the Darboux-Treibich-Verdier potential with its spectrum contained in R

Zhijie Chen Tsinghua University Erjuan Fu Tsinghua University Chang-Shou Lin Taiwan University

Complex Variables and Complex Analysis mathscidoc:2202.08001

American Journal of Mathematics, 2022.6
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[16] Fu-Yau Hessian equation

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

Analysis of PDEs Complex Variables and Complex Analysis Differential Geometry mathscidoc:2106.03001

2018.4
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[17] 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

Distinguished Paper Award in 2020

Cambridge Journal of Mathematics, 6, (4), 451-496, 2018
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[18] 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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[19] 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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[20] 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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[21] 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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[22] 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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[23] 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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[24] 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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[25] 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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