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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.09479 |
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| _version_ | 1866909622804152320 |
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| author | Pfister, Anaëlle Sattelberger, Anna-Laura |
| author_facet | Pfister, Anaëlle Sattelberger, Anna-Laura |
| contents | We investigate Mellin integrals of products of hyperplanes, raised to an individual power each. We refer to the resulting functions as combinatorial correlators. We investigate their behavior when moving the hyperplanes individually. To encode these functions as holonomic functions in the constant terms of the hyperplanes, we aim to construct a holonomic annihilating $D$-ideal purely in terms of the hyperplane arrangement. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_09479 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Differential Equations for Moving Hyperplane Arrangements Pfister, Anaëlle Sattelberger, Anna-Laura Combinatorics Algebraic Geometry We investigate Mellin integrals of products of hyperplanes, raised to an individual power each. We refer to the resulting functions as combinatorial correlators. We investigate their behavior when moving the hyperplanes individually. To encode these functions as holonomic functions in the constant terms of the hyperplanes, we aim to construct a holonomic annihilating $D$-ideal purely in terms of the hyperplane arrangement. |
| title | Differential Equations for Moving Hyperplane Arrangements |
| topic | Combinatorics Algebraic Geometry |
| url | https://arxiv.org/abs/2412.09479 |