实阿贝尔变种上的向量束

IF 0.6 4区数学 Q3 MATHEMATICS

Differential Geometry and its Applications Pub Date : 2023-11-19 DOI:10.1016/j.difgeo.2023.102077

Archana S. Morye

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引用次数: 0

摘要

本文研究了实阿贝尔变体上的实全纯向量束。本文的主要结果给出了实阿贝尔变集上实全纯向量束上全纯连接存在的几个充要条件。同时证明了辛普森结果在实阿贝尔变数下的一个类似，给出了稳定向量束的连续扩展产生全纯向量束的一个判据。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Vector bundles on real abelian varieties

This paper is about real holomorphic vector bundles on real abelian varieties. The main result of the paper gives several conditions that are necessary and sufficient for the existence of a holomorphic connection on a real holomorphic vector bundle over a real abelian variety. Also proved is an analogue, for real abelian varieties, of a result of Simpson, which gives a criterion for a holomorphic vector bundle to arise by successive extensions of stable vector bundles with vanishing Chern classes.

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来源期刊

Differential Geometry and its Applications 数学-数学

CiteScore

1.00

自引率

20.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Differential Geometry and its Applications publishes original research papers and survey papers in differential geometry and in all interdisciplinary areas in mathematics which use differential geometric methods and investigate geometrical structures. The following main areas are covered: differential equations on manifolds, global analysis, Lie groups, local and global differential geometry, the calculus of variations on manifolds, topology of manifolds, and mathematical physics.