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.

Networks and Optimization

Agostini, D, Fevola, C, Sattelberger, A-L, & Telen, S.J.L. (2022). Vector spaces of generalized Euler integrals. doi:10.48550/arXiv.2208.08967