A Castelnuovo-Mumford regularity bound for scrolls

Abstract

Let $X\subseteq {\mathbb{P}}^r$ be a scroll of codimension $e$ and degree $d$ over a smooth projective curve of genus $g$. The purpose of this paper is to prove a linear Castelnuovo-Mumford regularity bound that reg$(X)\le d-e+1+g(e-1)$. This bound works over an algebraically closed field of arbitrary characteristic.

10 pages. to appear in J. Algebra

References in corpus (2)

• Asymptotic syzygies of algebraic varieties
• A bound for Castelnuovo-Mumford regularity by double point divisors