Vol. 9, No. 3, 2015

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

Volume 14
Issue 7, 1669–1999
Issue 6, 1331–1667
Issue 5, 1055–1329
Issue 4, 815–1054
Issue 3, 545–813
Issue 2, 275–544
Issue 1, 1–274

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
Subscriptions
Editors' Interests
Submission Guidelines
Submission Form
Editorial Login
Ethics Statement
ISSN: 1944-7833 (e-only)
ISSN: 1937-0652 (print)
Author Index
To Appear
 
Other MSP Journals
Secant spaces and syzygies of special line bundles on curves

Marian Aprodu and Edoardo Sernesi

Vol. 9 (2015), No. 3, 585–600
Abstract

On a special line bundle L on a projective curve C we introduce a geometric condition called (Δq). When L = KC, this condition implies gon(C) q + 2. For an arbitrary special L, we show that (Δ3) implies that L has the well-known property (M3), generalising a similar result proved by Voisin in the case L = KC.

Keywords
projective curves, Brill–Noether theory, syzygies, secant loci
Mathematical Subject Classification 2010
Primary: 14N05
Secondary: 14N25, 14M12
Milestones
Received: 25 April 2014
Revised: 27 January 2015
Accepted: 2 March 2015
Published: 17 April 2015
Authors
Marian Aprodu
Simion Stoilow Institute of Mathematics of the Romanian Academy
P.O. Box 1-764
014700 Bucharest
Romania Faculty of Mathematics and Computer Science
University of Bucharest
14 Academiei Street
010014 Bucharest
Romania
Edoardo Sernesi
Dipartimento di Matematica e Fisica
Università degli Studi Roma Tre
Largo San Leonardo Murialdo
I-00146 Roma
Italy