Vectors bundles with theta divisors I-Bundles on Castelnuovo curves

被引：1

作者：

Joshi, Kirti ^{[1
]}

Mehta, V. B. ^{[2
]}

机构：

[1] Univ Arizona, Dept Math, Tucson, AZ 85721 USA

[2] Tata Inst Fundamental Res, Sch Math, Bombay 400005, Maharashtra, India

来源：

ARCHIV DER MATHEMATIK | 2009年 / 92卷 / 06期

关键词：

Vector bundles; Nodal curves; semistable vector bundles; theta divisors; GENERALIZED PARABOLIC BUNDLES;

D O I：

10.1007/s00013-009-2973-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we show that semistable vector bundles on a Castelnuovo curve of genus g a parts per thousand yen 2 have theta divisors. As a corollary, we deduce that semistable vector bundles on a smooth, general curve of genus g a parts per thousand yen 2 which extend to semistable vector bundles on any flat Castelnuovo degeneration of the general curve admit a theta divisor.

引用

页码：574 / 584

页数：11