Frobenius structures on hypergeometric equations

Kiran S. Kedlaya

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arXiv · 1912.13073

Frobenius structures on hypergeometric equations

Kiran S. Kedlaya

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Abstract

We give an exposition of Dwork's construction of Frobenius structures associated to generalized hypergeometric equations via the interpretation of the latter due to Gelfand-Kapranov-Zelevinsky in the language of A-hypergeometric systems. As a consequence, we extract some explicit formulas for the degeneration at 0 in terms of the Morita p-adic gamma function.

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Kiran S. Kedlaya. 2019-12-30. Frobenius structures on hypergeometric equations. https://arxiv.org/abs/1912.13073

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