On Hypergeometric Duality Conjecture
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866914709748318208 |
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| author | Borisov, Lev Han, Zengrui |
| author_facet | Borisov, Lev Han, Zengrui |
| contents | We give an explicit formula for the duality, previously conjectured by Horja and Borisov, of two systems of GKZ hypergeometric PDEs. We prove that in the appropriate limit this duality can be identified with the inverse of the Euler characteristics pairing on cohomology of certain toric Deligne-Mumford stacks, by way of $Γ$-series cohomology valued solutions to the equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_01374 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On Hypergeometric Duality Conjecture Borisov, Lev Han, Zengrui Algebraic Geometry 14M25, 14J32, 14J33, 33C99 We give an explicit formula for the duality, previously conjectured by Horja and Borisov, of two systems of GKZ hypergeometric PDEs. We prove that in the appropriate limit this duality can be identified with the inverse of the Euler characteristics pairing on cohomology of certain toric Deligne-Mumford stacks, by way of $Γ$-series cohomology valued solutions to the equations. |
| title | On Hypergeometric Duality Conjecture |
| topic | Algebraic Geometry 14M25, 14J32, 14J33, 33C99 |
| url | https://arxiv.org/abs/2301.01374 |