广义欧拉积分的向量空间

IF 1.2 3区数学 Q1 MATHEMATICS

Communications in Number Theory and Physics Pub Date : 2024-07-15 DOI:10.4310/cntp.2024.v18.n2.a2

Daniele Agostini, Claudia Fevola, Anna-Laura Sattelberger, Simon Telen

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引用次数: 0

摘要

我们研究与广义欧拉积分族相关的向量空间。它们的维度由非常仿射变种的欧拉特性给出。受粒子物理学中费曼积分的启发，我们使用同调代数和 $D$ 模块理论中的工具对其进行了研究。我们对这些方法进行了概述，并揭示了它们之间的新关系。我们还提供了新的算法工具。

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Vector spaces of generalized Euler integrals

We study vector spaces associated to a family of generalized Euler integrals. Their dimension is given by the Euler characteristic of a very affine variety. Motivated by Feynman integrals from particle physics, this has been investigated using tools from homological algebra and the theory of $D$-modules. We present an overview and uncover new relations between these approaches. We also provide new algorithmic tools.

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来源期刊

Communications in Number Theory and Physics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.70

自引率

5.30%

发文量

审稿时长

>12 weeks

期刊介绍： Focused on the applications of number theory in the broadest sense to theoretical physics. Offers a forum for communication among researchers in number theory and theoretical physics by publishing primarily research, review, and expository articles regarding the relationship and dynamics between the two fields.