A Castelnuovo-Mumford regularity bound for scrolls

被引：6
|
作者：
Niu, Wenbo [1 ]
Park, Jinhyung [2 ]
机构：
[1] Univ Arkansas, Dept Math Sci, Fayetteville, AR 72701 USA
[2] Korea Inst Adv Study, Sch Math, Seoul 02455, South Korea
来源：
JOURNAL OF ALGEBRA | 2017年 / 488卷
基金：
新加坡国家研究基金会;
关键词：
Castelnuovo-Mumford regularity; Scroll; Minimal free resolution of a section module; PROJECTIVE VARIETIES; SMOOTH SURFACES; EQUATIONS; CURVES;
D O I：
10.1016/j.jalgebra.2017.06.027
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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.
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页码：388 / 402
页数：15
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