Vector Spaces of Generalized Euler Integrals
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.
 Publication:

arXiv eprints
 Pub Date:
 August 2022
 arXiv:
 arXiv:2208.08967
 Bibcode:
 2022arXiv220808967A
 Keywords:

 Mathematics  Algebraic Geometry;
 High Energy Physics  Theory
 EPrint:
 31 pages, with an appendix by SaieiJaeyeong MatsubaraHeo