English

Holonomic Systems for Period Mappings

Algebraic Geometry 2017-09-05 v2

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.

Cite

@article{arxiv.1512.05111,
  title  = {Holonomic Systems for Period Mappings},
  author = {Jingyue Chen and An Huang and Bong H. Lian},
  journal= {arXiv preprint arXiv:1512.05111},
  year   = {2017}
}

Comments

15 pages

R2 v1 2026-06-22T12:11:03.067Z