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arXiv · 1904.01253

An algorithm of computing cohomology intersection number of hypergeometric integrals

Saiei-Jaeyeong Matsubara-Heo·Nobuki Takayama
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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.

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Saiei-Jaeyeong Matsubara-Heo, Nobuki Takayama. 2019-04-02. An algorithm of computing cohomology intersection number of hypergeometric integrals. https://arxiv.org/abs/1904.01253

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