an:06534803
Zbl 1329.57034
Chen, Jingyue; Huang, An; Lian, Bong H.
Holonomic systems for period mappings
EN
Nucl. Phys., B 898, 693-706 (2015).
00352012
2015
j
57R35 14J10 53C29 81Q70
tautological systems
Summary: Period mappings were introduced in the sixties to study variation of complex structures of families of algebraic varieties. The theory of tautological systems was introduced recently 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. We also show that the D-module associated with the tautological system gives rise to many interesting vanishing conditions for period integrals at certain special points of the parameter space.