Frobenius structures on hypergeometric equations
Number Theory
2021-12-14 v3 Algebraic Geometry
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.
Cite
@article{arxiv.1912.13073,
title = {Frobenius structures on hypergeometric equations},
author = {Kiran S. Kedlaya},
journal= {arXiv preprint arXiv:1912.13073},
year = {2021}
}
Comments
25 pages; v3: refereed version