A vanishing theorem for weight-one syzygies

Ein, Lawrence; Lazarsfeld, Robert; Yang, David

doi:10.2140/ant.2016.10.1965

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A vanishing theorem for weight-one syzygies

Lawrence Ein, Robert Lazarsfeld and David Yang

Vol. 10 (2016), No. 9, 1965–1981

DOI: 10.2140/ant.2016.10.1965

Abstract

We give a criterion for the vanishing of the weight-one syzygies associated to a line bundle $B$ in a sufficiently positive embedding of a smooth complex projective variety of arbitrary dimension.

Keywords

Syzygies

Mathematical Subject Classification 2010

Primary: 14J99

Secondary: 13D02

Milestones

Received: 23 December 2015

Revised: 29 June 2016

Accepted: 21 August 2016

Published: 22 November 2016

Authors

Lawrence Ein
Department of Mathematics University of Illinois, Chicago Chicago, IL 60607 United States

Robert Lazarsfeld
Department of Mathematics Stony Brook University Stony Brook, NY 11794 United States

David Yang
Department of Mathematics MIT Building 2 182 Memorial Dr. Cambridge, MA 02139 United States

Vol. 10, No. 9, 2016