Period Integrals and Tautological Systems
Algebraic Geometry
2012-05-17 v2 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1105.2984,
title = {Period Integrals and Tautological Systems},
author = {Bong H. Lian and Ruifang Song and Shing-Tung Yau},
journal= {arXiv preprint arXiv:1105.2984},
year = {2012}
}
Comments
34 pages; minor mistakes corrected; an example added; Theorem 3.4 is sharpened; a brief discussion of holonomic rank is added in section 7