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Period integrals of local complete intersections and tautological systems

An Huang Brandeis University Bong Lian Brandeis University Shing-Tung Yau Harvard University Chenglong Yu Harvard University

mathscidoc:1802.01002

2018.1
Tautological systems developed in [6],[7] are Picard-Fuchs type systems to study period integrals of complete intersections in Fano varieties. We generalize tautological systems to local complete intersections, which are zero loci of global sections of vector bundles over Fano varieties. In particular, we obtain similar criterion as [6, 7] about holonomicity and regularity of the system. We also prove solution rank formulas and geometric realizations of solutions following the work of hypersurfaces [5, 4].
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@inproceedings{an2018period,
  title={Period integrals of local complete intersections and tautological systems},
  author={An Huang, Bong Lian, Shing-Tung Yau, and Chenglong Yu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20180208151917139122918},
  year={2018},
}
An Huang, Bong Lian, Shing-Tung Yau, and Chenglong Yu. Period integrals of local complete intersections and tautological systems. 2018. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20180208151917139122918.
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