GKZ超几何系统的上同交数计算

Proceedings of MathemAmplitudes 2019: Intersection Theory & Feynman Integrals — PoS(MA2019) Pub Date : 2020-08-07 DOI:10.22323/1.383.0013

Saiei-Jaeyeong Matsubara-Heo

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引用次数: 8

摘要

在这篇综述文章中，我们报告了在\cite{GM}, \cite{MH}, \cite{MT}和\cite{MT2}中开发的GKZ系统的上同交数的计算方面的一些最新进展。我们还讨论了交点理论与多项式的绝对值的幂积的积分求值之间的关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Computing cohomology intersection numbers of GKZ hypergeometric systems

In this review article, we report on some recent advances on the computational aspects of cohomology intersection numbers of GKZ systems developed in \cite{GM}, \cite{MH}, \cite{MT} and \cite{MT2}. We also discuss the relation between intersection theory and evaluation of an integral of a product of powers of absolute values of polynomials.

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Proceedings of MathemAmplitudes 2019: Intersection Theory & Feynman Integrals — PoS(MA2019)

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