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Frobenius structures on hypergeometric equations

Published 30 Dec 2019 in math.NT and math.AG | (1912.13073v3)

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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