抛物线连接

IF 0.8 2区数学 Q2 MATHEMATICS

Journal of Algebra Pub Date : 2024-11-19 DOI:10.1016/j.jalgebra.2024.11.008

Zakaria Ouaras

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引用次数: 0

摘要

本文给出了一类固定行列式线束抛物情形下的Hitchin连接的一个代数-几何构造。我们的策略是基于Hecke修正，在Hecke修正中，我们给出了抛物束模空间的抛物型行列式线束和规范线束的分解公式。作为一种特殊情况，我们在向量束的模空间上构造了一个具有固定的，不一定平凡的行列式的Hitchin连接。

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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Parabolic Hitchin connection

In this paper, we present an algebro-geometric construction of the Hitchin connection in the parabolic setting for a fixed determinant line bundle. Our strategy is based on Hecke modifications, where we provide a decomposition formula for the parabolic determinant line bundle and the canonical line bundle of the moduli space of parabolic bundles. As a special case, we construct a Hitchin connection on the moduli space of vector bundles with fixed, not necessarily trivial, determinant.

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来源期刊

Journal of Algebra 数学-数学

CiteScore

1.50

自引率

22.20%

发文量

414

审稿时长

2-4 weeks

期刊介绍： The Journal of Algebra is a leading international journal and publishes papers that demonstrate high quality research results in algebra and related computational aspects. Only the very best and most interesting papers are to be considered for publication in the journal. With this in mind, it is important that the contribution offer a substantial result that will have a lasting effect upon the field. The journal also seeks work that presents innovative techniques that offer promising results for future research.