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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doi.org/10.48550/arXiv.2208.08967
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