Semi-homogeneous vector bundles on an abelian variety
Semi-homogeneous vector bundles on an abelian variety
复制标题
阿贝尔簇上的半齐次向量丛
DOI：
--
复制
发表时间：
1978
期刊：
影响因子：
--
通讯作者：
S. Mukai
中科院分区：
文献类型：
--
作者：
S. Mukai
Atiyah在他的论文[2]中对椭圆曲线上的向量丛进行了完全分类（另见O da [12 ]）。他的结果被以各种方式推广到高等亏格的曲线上。另一个方向，我们必须尝试扩大它是研究向量丛的交换品种X的更高的dimension。与g =dim X =1的情况相反，当g >1时，X上有“太”多的向量丛。本文的主要研究对象是以下类型的向量丛：
In his paper [2], Atiyah completely classified the vector bundles on an elliptic curve (see also O da [12 ]). His results have been extended to the curves of higher genus in various ways. Another direction in which we must try to extend it is the study of vector bundles on an abelian variety X of higher dim ension. In contrast w ith the case g =dim X =1, there are "too" many vector bundles on X when g >1. The main object of our study in this article is the vector bundle of the following type: