Birational description of moduli spaces of rank 2 logarithmic connections
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866909241255657472 |
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| author | Matsumoto, Takafumi |
| author_facet | Matsumoto, Takafumi |
| contents | In this paper, we provide an explicit description of the Zariski-open subset of the moduli space of rank 2 parabolic logarithmic connections in the case $g\geq 2$. Our approach is to analyze the underlying parabolic bundles and the apparent singularities of the parabolic connections. We prove that a Zariski-open subset of the product of a projective space and the moduli space of parabolic bundles gives a Darboux coordinate for the moduli space of parabolic connections. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2105_06892 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Birational description of moduli spaces of rank 2 logarithmic connections Matsumoto, Takafumi Algebraic Geometry 14D20, 34M55 In this paper, we provide an explicit description of the Zariski-open subset of the moduli space of rank 2 parabolic logarithmic connections in the case $g\geq 2$. Our approach is to analyze the underlying parabolic bundles and the apparent singularities of the parabolic connections. We prove that a Zariski-open subset of the product of a projective space and the moduli space of parabolic bundles gives a Darboux coordinate for the moduli space of parabolic connections. |
| title | Birational description of moduli spaces of rank 2 logarithmic connections |
| topic | Algebraic Geometry 14D20, 34M55 |
| url | https://arxiv.org/abs/2105.06892 |