曲线上滤波g -局部系统的模空间

IF 1.5 1区数学 Q1 MATHEMATICS

Advances in Mathematics Pub Date : 2025-07-04 DOI:10.1016/j.aim.2025.110420

Pengfei Huang , Hao Sun

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引用次数: 0

摘要

本文构造了特征为零的代数闭域上任意约化群G在曲线上的滤波G局部系统的模空间。给出了非紧曲线上向量束/主束的非阿贝尔Hodge对应中的Betti模空间的代数构造。作为一种直接应用，非紧曲线上的非阿贝尔霍奇对应不仅对相关范畴成立，而且对模空间也成立。

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Moduli spaces of filtered G-local systems on curves

In this paper, we construct the moduli spaces of filtered G-local systems on curves for an arbitrary reductive group G over an algebraically closed field of characteristic zero. This provides an algebraic construction for the Betti moduli spaces in the tame nonabelian Hodge correspondence for vector bundles/principal bundles on noncompact curves. As a direct application, the tame nonabelian Hodge correspondence on noncompact curves holds not only for the relevant categories, but also for the moduli spaces.

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来源期刊

Advances in Mathematics 数学-数学

CiteScore

2.80

自引率

5.90%

发文量

497

审稿时长

7.5 months

期刊介绍： Emphasizing contributions that represent significant advances in all areas of pure mathematics, Advances in Mathematics provides research mathematicians with an effective medium for communicating important recent developments in their areas of specialization to colleagues and to scientists in related disciplines.