A Castelnuovo-Mumford regularity bound for scrolls

JOURNAL OF ALGEBRA

卷:488

Article

Niu, Wenbo¹  Park, Jinhyung² 

[1] Univ Arkansas, Dept Math Sci, Fayetteville, AR 72701 USA

[2] Korea Inst Adv Study, Sch Math, Seoul 02455, South Korea

关键词: Castelnuovo-Mumford regularity;    Scroll;    Minimal free resolution of a section module;   

DOI  :  10.1016/j.jalgebra.2017.06.027

来源: Elsevier

【 摘 要 】

Let X subset of 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) <= d - e +1+ g(e - 1). This bound works over an algebraically closed field of arbitrary characteristic. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

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