Frobenius structures on hypergeometric equations

2019/12/30 by Kiran S. Kedlaya, Kedlaya, Kiran S. · 1 citation
Computer Science · Mathematics · #12H25 #33C20 #Advanced Mathematical Identities #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT) #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1912.13073

openalex publication_date 2019/12/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• The Explicit Hypergeometric Modularity Method III

Related

• Frobenius structure on hypergeometric equations, p-adic polygamma values and p-adic L-values
• A-hypergeometric series with parameters in the core
• Logarithmic A-hypergeometric series \textrm I \textrm I \textrm I
• Frobenius map and the p-adic Gamma function
• The p-adic Gelfand-Kapranov-Zelevinsky hypergeometric complex