Moduli spaces of parabolic bundles over $\mathbb{P}^1$ with five marked points
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866908468735115264 |
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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 |