A Castelnuovo-Mumford regularity bound for scrolls

Wenbo Niu; Jinhyung Park

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arXiv · 1603.02382

A Castelnuovo-Mumford regularity bound for scrolls

Wenbo Niu·Jinhyung Park

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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$(X) \leq d-e+1+g(e-1)$. This bound works over an algebraically closed field of arbitrary characteristic.

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Wenbo Niu, Jinhyung Park. 2016-03-08. A Castelnuovo-Mumford regularity bound for scrolls. https://arxiv.org/abs/1603.02382

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