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

Alan Adolphson; Steven Sperber

doi:10.1016/j.ffa.2016.05.001

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

Alan Adolphson
, Steven Sperber

School of Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

We give a short combinatorial proof of the generic invertibility of the Hasse-Witt matrix of a projective hypersurface. We also examine the relationship between the Hasse-Witt matrix and certain A-hypergeometric series, which is what motivated the proof.

Original language	English (US)
Pages (from-to)	55-63
Number of pages	9
Journal	Finite Fields and their Applications
Volume	41
DOIs	https://doi.org/10.1016/j.ffa.2016.05.001
State	Published - Sep 1 2016

Bibliographical note

Publisher Copyright:
© 2016 Elsevier Inc. All rights reserved.

Keywords

A-hypergeometric series
Hasse-Witt matrix

Publisher link

10.1016/j.ffa.2016.05.001

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abstract = "We give a short combinatorial proof of the generic invertibility of the Hasse-Witt matrix of a projective hypersurface. We also examine the relationship between the Hasse-Witt matrix and certain A-hypergeometric series, which is what motivated the proof.",

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AU - Sperber, Steven

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AB - We give a short combinatorial proof of the generic invertibility of the Hasse-Witt matrix of a projective hypersurface. We also examine the relationship between the Hasse-Witt matrix and certain A-hypergeometric series, which is what motivated the proof.

KW - A-hypergeometric series

KW - Hasse-Witt matrix

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UR - https://www.scopus.com/pages/publications/84971327873#tab=citedBy

U2 - 10.1016/j.ffa.2016.05.001

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JO - Finite Fields and their Applications

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ER -

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

Abstract

Bibliographical note

Keywords

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