Vector spaces of generalized Euler integrals

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-07-15 DOI:10.4310/cntp.2024.v18.n2.a2

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

引用次数: 0

Abstract

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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广义欧拉积分的向量空间

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。

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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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.