Vol. 9, No. 3, 2015

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

Volume 18
Issue 9, 1589–1766
Issue 8, 1403–1587
Issue 7, 1221–1401
Issue 6, 1039–1219
Issue 5, 847–1038
Issue 4, 631–846
Issue 3, 409–629
Issue 2, 209–408
Issue 1, 1–208

Volume 17, 12 issues

Volume 16, 10 issues

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
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Editors' interests
 
Subscriptions
 
ISSN 1944-7833 (online)
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