Period Integrals and Tautological Systems

Details Period Integrals and Tautological Systems Period Integrals and Tautological Systems

2011-05-16

arxiv.org/abs/1105.2984v1

Mathematics

Algebraic Geometry

27 pages

Scientific paper

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.

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