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arXiv · 1512.05111

Holonomic Systems for Period Mappings

Jingyue Chen·An Huang·Bong H. Lian
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Abstract

Period mappings were introduced in the sixties [G] to study variation of complex structures of families of algebraic varieties. The theory of tautological systems was introduced recently [LSY,LY] to understand period integrals of algebraic manifolds. In this paper, we give an explicit construction of a tautological system for each component of a period mapping.

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Jingyue Chen, An Huang, Bong H. Lian. 2017-09-03. Holonomic Systems for Period Mappings. https://doi.org/10.1016/j.nuclphysb.2015.07.009

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