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

2023/05/20 by Zengrui Han
Computer Science · Physics and Astronomy · Mathematics · #math.AG

paper · pdf · doi:10.46298/epiga.2024.11695

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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