Regularity of curves in abelian varieties
Luigi Lombardi, Wenbo Niu
TL;DR
This paper extends the concept of Castelnuovo-Mumford regularity bounds from projective spaces to Theta-regularity bounds for curves in polarized abelian varieties, providing new theoretical insights.
Contribution
It introduces bounds on Theta-regularity for curves in polarized abelian varieties, generalizing classical results from projective space.
Findings
Bound established for Theta-regularity of curves in abelian varieties
Generalization of Gruson-Lazarsfeld-Peskine theorem
Theoretical framework for regularity in abelian varieties
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.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Polynomial and algebraic computation · Advanced Differential Equations and Dynamical Systems