Period integrals of local complete intersections and tautological systems
Algebraic Geometry
2018-01-08 v1
Abstract
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].
Keywords
Cite
@article{arxiv.1801.01194,
title = {Period integrals of local complete intersections and tautological systems},
author = {An Huang and Bong Lian and Shing-Tung Yau and Chenglong Yu},
journal= {arXiv preprint arXiv:1801.01194},
year = {2018}
}
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14 pages