Globally F-regular type of the moduli spaces of parabolic symplectic/orthogonal bundles on curves

IF 1.2 2区数学 Q1 MATHEMATICS

Forum of Mathematics Sigma Pub Date : 2024-05-27 DOI:10.1017/fms.2024.57

Jianping Wang, Xueqing Wen

引用次数: 0

Abstract

We prove that the moduli spaces of parabolic symplectic/orthogonal bundles on a smooth curve are globally F-regular type. As a consequence, all higher cohomologies of the theta line bundle vanish. During the proof, we develop a method to estimate codimension.

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曲线上抛物线交映/正交束的模空间的全局 F 不规则类型

我们证明了光滑曲线上抛物线交/正交束的模空间是全局 F 不规则型的。因此，θ线束的所有高次同调都消失了。在证明过程中，我们开发了一种估计标度的方法。

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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来源期刊

Forum of Mathematics Sigma Mathematics-Statistics and Probability

CiteScore

1.90

自引率

5.90%

发文量

审稿时长

40 weeks

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