Vector Spaces of Generalized Euler Integrals
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866915304317124608 |
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| author | Agostini, Daniele Fevola, Claudia Sattelberger, Anna-Laura Telen, Simon |
| author_facet | Agostini, Daniele Fevola, Claudia Sattelberger, Anna-Laura Telen, Simon |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_08967 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Vector Spaces of Generalized Euler Integrals Agostini, Daniele Fevola, Claudia Sattelberger, Anna-Laura Telen, Simon Algebraic Geometry High Energy Physics - Theory 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. |
| title | Vector Spaces of Generalized Euler Integrals |
| topic | Algebraic Geometry High Energy Physics - Theory |
| url | https://arxiv.org/abs/2208.08967 |