Vol. 16, No. 4, 2022

Download this article
Download this article For screen
For printing
Recent Issues

Volume 16
Issue 6, 1327–1546
Issue 5, 1025–1326
Issue 4, 777–1024
Issue 3, 521–775
Issue 2, 231–519
Issue 1, 1–230

Volume 15, 10 issues

Volume 14, 10 issues

Volume 13, 10 issues

Volume 12, 10 issues

Volume 11, 10 issues

Volume 10, 10 issues

Volume 9, 10 issues

Volume 8, 10 issues

Volume 7, 10 issues

Volume 6, 8 issues

Volume 5, 8 issues

Volume 4, 8 issues

Volume 3, 8 issues

Volume 2, 8 issues

Volume 1, 4 issues

The Journal
About the Journal
Editorial Board
Editors’ Interests
Subscriptions
 
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
Stability of normal bundles of space curves

Izzet Coskun, Eric Larson and Isabel Vogt

Vol. 16 (2022), No. 4, 919–953
Abstract

We prove that the normal bundle of a general Brill–Noether space curve of degree d and genus g 2 is stable if and only if (d,g){(5,2),(6,4)}. When g 1 and the characteristic of the ground field is zero, it is classical that the normal bundle is strictly semistable. We show that this still holds in positive characteristic except when the characteristic is 2, the genus is 0 and the degree is even.

Keywords
normal bundle, Brill–Noether curve, stability
Mathematical Subject Classification
Primary: 14H50, 14H60
Secondary: 14B99
Milestones
Received: 27 August 2020
Revised: 14 May 2021
Accepted: 5 August 2021
Published: 5 August 2022
Authors
Izzet Coskun
Department of Mathematics, Statistics, and Computer Science
University of Illinois at Chicago
Chicago, IL
United States
Eric Larson
Department of Mathematics
University of Washington
Seattle, WA
United States
Department of Mathematics
Brown University
Providence, RI
United States
Isabel Vogt
Department of Mathematics
University of Washington
Seattle, WA
United States
Department of Mathematics
Brown University
Providence, RI
United States