Holonomic Systems for Period Mappings
arXiv:1512.05111 · doi:10.1016/j.nuclphysb.2015.07.009
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.
15 pages