Characteristic cycles and Gevrey series solutions of A-hypergeometric systems

Berkesch, Christine; Fernández-Fernández, María-Cruz

doi:10.2140/ant.2020.14.323

Download this article
	For screen
	For printing

Recent Issues

The Journal

Submission Guidelines

Submission Form

Policies for Authors

Ethics Statement

ISSN: 1944-7833 (e-only)

ISSN: 1937-0652 (print)

Author Index

To Appear

Other MSP Journals

This article is available for purchase or by subscription. See below.

Characteristic cycles and Gevrey series solutions of $A$-hypergeometric systems

Christine Berkesch and María-Cruz Fernández-Fernández

Vol. 14 (2020), No. 2, 323–347

DOI: 10.2140/ant.2020.14.323

Abstract

We compute the $L$ -characteristic cycle of an $A$ -hypergeometric system and higher Euler–Koszul homology modules of the toric ring. We also prove upper semicontinuity results about the multiplicities in these cycles and apply our results to analyze the behavior of Gevrey solution spaces of the system.

PDF Access Denied

We have not been able to recognize your IP address 3.145.201.71 as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.

You may also contact us at contact@msp.org
or by using our contact form.

Or, you may purchase this single article for USD 40.00:

Keywords

$A$-hypergeometric system, toric ring, $D$-module, characteristic cycle, irregularity sheaf, Gevrey series

Mathematical Subject Classification 2010

Primary: 13N10

Secondary: 14M25, 32C38, 33C70

Milestones

Received: 12 February 2019

Revised: 25 September 2019

Accepted: 13 November 2019

Published: 17 March 2020

Authors

Christine Berkesch
School of Mathematics University of Minnesota Minneapolis, MN United States

María-Cruz Fernández-Fernández
Departamento de Álgebra e Instituto de Matemáticas-IMUS Universidad de Sevilla Spain

Vol. 14, No. 2, 2020