Regularity of curves in abelian varieties

2012/09/20 by Lombardi, Luigi, Niu, Wenbo
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1209.4404

Abstract

Inspired by a theorem of Gruson-Lazarsfeld-Peskine bounding the Castelnuovo-Mumford regularity of curves in projective spaces, we bound the Theta-regularity of curves in polarized abelian varieties.

Related

• Theta-regularity of curves and Brill-Noether loci
• On the principally polarized abelian varieties that contain m-minimal curves
• Elliptic curves on abelian varieties
• Castelnuovo regularity for smooth projective varieties of dimensions 3 and 4
• Regularity on abelian varieties III: further applications