Moduli spaces of parabolic bundles over $\mathbb{P}^1$ with five marked points
Algebraic Geometry
2025-07-29 v4
Abstract
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 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.
Cite
@article{arxiv.2108.08994,
title = {Moduli spaces of parabolic bundles over $\mathbb{P}^1$ with five marked points},
author = {Zhi Hu and Pengfei Huang and Runhong Zong},
journal= {arXiv preprint arXiv:2108.08994},
year = {2025}
}
Comments
Minor corrections, final version, to appear in J. Math. Pures Appl