Period Integrals and Tautological Systems
arXiv:1105.2984
Abstract
We study period integrals of CY hypersurfaces in a partial flag variety. We construct a holonomic system of differential equations which govern the period integrals. By means of representation theory, a set of generators of the system can be described explicitly. The results are also generalized to CY complete intersections. The construction of these new systems of differential equations have lead us to the notion of a tautological system.
34 pages; minor mistakes corrected; an example added; Theorem 3.4 is sharpened; a brief discussion of holonomic rank is added in section 7