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

Find It

Find It at U of M Libraries

Cite this

@article{e5406926f3a7438eb7bfc888ecbc6775,

title = "A-hypergeometric series and the Hasse-Witt matrix of a hypersurface",

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.",

keywords = "A-hypergeometric series, Hasse-Witt matrix",

author = "Alan Adolphson and Steven Sperber",

year = "2016",

month = sep,

day = "1",

doi = "10.1016/j.ffa.2016.05.001",

language = "English (US)",

volume = "41",

pages = "55--63",

journal = "Finite Fields and their Applications",

issn = "1071-5797",

publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - A-hypergeometric series and the Hasse-Witt matrix of a hypersurface

AU - Adolphson, Alan

AU - Sperber, Steven

PY - 2016/9/1

Y1 - 2016/9/1

N2 - 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.

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

UR - http://www.scopus.com/inward/record.url?scp=84971327873&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84971327873&partnerID=8YFLogxK

U2 - 10.1016/j.ffa.2016.05.001

DO - 10.1016/j.ffa.2016.05.001

M3 - Article

AN - SCOPUS:84971327873

SN - 1071-5797

VL - 41

SP - 55

EP - 63

JO - Finite Fields and their Applications

JF - Finite Fields and their Applications

ER -

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

Abstract

Bibliographical note

Keywords

Publisher link

Find It

Other files and links

Fingerprint

Cite this