Moduli spaces of parabolic bundles over $\mathbb{P}^1$ with five marked points

Fuente: arXiv
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Main Authors: Hu, Zhi, Huang, Pengfei, Zong, Runhong
Format: Preprint
Published: 2021
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author Hu, Zhi
Huang, Pengfei
Zong, Runhong
author_facet Hu, Zhi
Huang, Pengfei
Zong, Runhong
contents 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 $\mathbb{P}^1$ 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.
format Preprint
id arxiv_https___arxiv_org_abs_2108_08994
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Moduli spaces of parabolic bundles over $\mathbb{P}^1$ with five marked points
Hu, Zhi
Huang, Pengfei
Zong, Runhong
Algebraic Geometry
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 $\mathbb{P}^1$ 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.
title Moduli spaces of parabolic bundles over $\mathbb{P}^1$ with five marked points
topic Algebraic Geometry
url https://arxiv.org/abs/2108.08994