\(A\)-hypergeometric series and the Hasse-Witt matrix of a hypersurface

DOI10.1016/j.ffa.2016.05.001zbMath1416.11101arXiv1601.05127OpenAlexW2291430019MaRDI QIDQ530394

Alan Adolphson, Steven I. Sperber

Publication date: 29 July 2016

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.05127

zbMATH Keywords

\(A\)-hypergeometric seriesHasse-Witt matrix

Mathematics Subject Classification ID

Finite ground fields in algebraic geometry (14G15) Varieties over finite and local fields (11G25)

Related Items (5)

A generalization of the Hasse-Witt matrix of a hypersurface ⋮ Hasse-Witt matrices, unit roots and period integrals ⋮ Higher Hasse-Witt matrices ⋮ On unbounded denominators and hypergeometric series ⋮ \(A\)-hypergeometric series and a \(p\)-adic refinement of the Hasse-Witt matrix

Cites Work

• Hasse invariants and mod \(p\) solutions of \(A\)-hypergeometric systems
• Algebraic solutions of differential equations (p-curvature and the Hodge filtration)
• Newton polygons of zeta functions and \(L\) functions
• Variations of \(p\)-adic Newton polygons for \(L\)-functions of exponential sums
• Formal Group Laws Arising from Algebraic Varieties
• Formal Groups and Congruences for L-Functions
• Über gewöhnliche Hyperflächen. I.
• Über gewöhnliche Hyperflächen. II.
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