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arXiv · 2305.12241

Analytic continuation of better-behaved GKZ systems and Fourier-Mukai transforms

Zengrui Han
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Abstract

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.

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Zengrui Han. 2023-05-20. Analytic continuation of better-behaved GKZ systems and Fourier-Mukai transforms. https://doi.org/10.46298/epiga.2024.11695

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