# Vector Spaces of Generalized Euler Integrals

@inproceedings{Agostini2022VectorSO, title={Vector Spaces of Generalized Euler Integrals}, author={Daniele Agostini and Claudia Fevola and Anna-Laura Sattelberger and Simon Telen}, year={2022} }

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.

## 2 Citations

### Twisted cohomology and likelihood ideals

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A likelihood function on a smooth very aﬃne variety gives rise to a twisted de Rham complex. We show how its top cohomology vector space degenerates to the coordinate ring of the critical points…

### FeynGKZ: a Mathematica package for solving Feynman integrals using GKZ hypergeometric systems

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- 2022

In the Lee-Pomeransky representation, Feynman integrals can be identiﬁed as a sub-set of Euler-Mellin integrals, which are known to satisfy Gel ' fand-Kapranov-Zelevinsky (GKZ) system of partial…

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