Castelnuovo-Mumford regularity bounds for singular surfaces

被引：8
|
作者：
Niu, Wenbo [1 ]
机构：
[1] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA
来源：
MATHEMATISCHE ZEITSCHRIFT | 2015年 / 280卷 / 3-4期
关键词：
Castelnuovo-Mumford regularity; Curve; Point; Normal surface; SMOOTH SURFACES; CURVES;
D O I：
10.1007/s00209-015-1439-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove the regularity conjecture, namely Eisenbud-Goto conjecture, for a normal surface with rational, Gorenstein elliptic and log canonical singularities. Along the way, we bound the regularity for a dimension zero scheme by its Loewy length and for a curve allowing embedded or isolated point components by its arithmetic degree.
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页码：609 / 620
页数：12
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