An algorithm of computing cohomology intersection number of hypergeometric integrals
Algebraic Geometry
2021-03-04 v5 Classical Analysis and ODEs
Abstract
We show that the cohomology intersection number of a twisted Gauss-Manin connection with regularization condition is a rational function. As an application, we obtain a new quadratic relation associated to period integrals of a certain family of K3 surfaces.
Cite
@article{arxiv.1904.01253,
title = {An algorithm of computing cohomology intersection number of hypergeometric integrals},
author = {Saiei-Jaeyeong Matsubara-Heo and Nobuki Takayama},
journal= {arXiv preprint arXiv:1904.01253},
year = {2021}
}
Comments
16 pages, final version, to appear in Nagoya Mathematical Journal