Vector Spaces of Generalized Euler Integrals
Algebraic Geometry
2025-05-27 v2 High Energy Physics - Theory
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 -modules. We present an overview and uncover new relations between these approaches. We also provide new algorithmic tools.
Cite
@article{arxiv.2208.08967,
title = {Vector Spaces of Generalized Euler Integrals},
author = {Daniele Agostini and Claudia Fevola and Anna-Laura Sattelberger and Simon Telen},
journal= {arXiv preprint arXiv:2208.08967},
year = {2025}
}
Comments
32 pages, with an appendix by Saiei-Jaeyeong Matsubara-Heo