P1上带五个标记点的抛物束的模空间

IF 2.3 1区数学 Q1 MATHEMATICS

Journal de Mathematiques Pures et Appliquees Pub Date : 2025-07-21 DOI:10.1016/j.matpur.2025.103775

Zhi Hu , Pengfei Huang , Runhong Zong

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引用次数: 0

摘要

研究了具有5个标记点的2阶1度抛物束（具有给定谱的抛物对数平面束和抛物对数希格斯束）的模空间/堆。研究了这些模空间/叠上的叶理和层理结构。特别地，我们证实了具有一定非特殊权系的抛物型对数平面束模空间的Simpson猜想。

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Moduli spaces of parabolic bundles over P1 with five marked points

This paper considers the moduli spaces/stacks of parabolic bundles (parabolic logarithmic flat bundles and parabolic logarithmic Higgs bundles with given spectrum) of rank 2 and degree 1 over

P^{1}

with five marked points. The foliation and stratification structures on these moduli spaces/stacks are investigated. In particular, we confirm Simpson's conjecture for the moduli space of parabolic logarithmic flat bundles with certain non-special weight system.

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来源期刊

Journal de Mathematiques Pures et Appliquees 数学-数学

CiteScore

4.30

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： Published from 1836 by the leading French mathematicians, the Journal des Mathématiques Pures et Appliquées is the second oldest international mathematical journal in the world. It was founded by Joseph Liouville and published continuously by leading French Mathematicians - among the latest: Jean Leray, Jacques-Louis Lions, Paul Malliavin and presently Pierre-Louis Lions.