Analytic continuation of better-behaved GKZ systems and Fourier-Mukai transforms
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866917534639325184 |
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| author | Han, Zengrui |
| author_facet | Han, Zengrui |
| contents | We study the relationship between solutions to better-behaved GKZ hypergeometric systems near different large radius limit points, and their geometric counterparts given by the $K$-groups of the associated toric Deligne-Mumford stacks. We prove that the $K$-theoretic Fourier-Mukai transforms associated to toric wall-crossing coincide with analytic continuation transformations of Gamma series solutions to the better-behaved GKZ systems, which settles a conjecture of Borisov and Horja. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_12241 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Analytic continuation of better-behaved GKZ systems and Fourier-Mukai transforms Han, Zengrui Algebraic Geometry 14M25, 14J32, 14J33, 33C99 We study the relationship between solutions to better-behaved GKZ hypergeometric systems near different large radius limit points, and their geometric counterparts given by the $K$-groups of the associated toric Deligne-Mumford stacks. We prove that the $K$-theoretic Fourier-Mukai transforms associated to toric wall-crossing coincide with analytic continuation transformations of Gamma series solutions to the better-behaved GKZ systems, which settles a conjecture of Borisov and Horja. |
| title | Analytic continuation of better-behaved GKZ systems and Fourier-Mukai transforms |
| topic | Algebraic Geometry 14M25, 14J32, 14J33, 33C99 |
| url | https://arxiv.org/abs/2305.12241 |