Vector bundles on a three-dimensional neighborhood of a ruled surface

被引：3

作者：

Ballico, E

Gasparim, E ^{[1
]}

机构：

[1] New Mexico State Univ, Dept Math, Las Cruces, NM 88003 USA

[2] Univ Trent, Dept Math, I-38050 Trento, Italy

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2005年 / 195卷 / 01期

关键词：

D O I：

10.1016/j.jpaa.2004.05.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let S be a ruled surface inside a smooth threefold W and let E be a vector bundle on a formal neighborhood of S. We find minimal conditions under which the local moduli space of E is finite dimensional and smooth. Moreover, we show that E is a flat limit of a flat family of vector bundles whose general element we describe explicitly. (C) 2004 Elsevier B.V. All rights reserved.

引用

页码：7 / 19

页数：13

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