Unfolding of wild character varieties
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912683579670528 |
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| author | Hiroe, Kazuki Yamakawa, Daisuke |
| author_facet | Hiroe, Kazuki Yamakawa, Daisuke |
| contents | In this paper, we study wild character varieties on compact Riemann surfaces and construct Poisson maps from wild to tame character varieties by unfolding irregular singularities into regular ones. Furthermore, we show that these unfolding Poisson maps induce Poisson birational equivalences between wild and tame character varieties. This result provides an affirmative answer to a conjecture posed by Klimes, Paul, and Ramis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_01221 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Unfolding of wild character varieties Hiroe, Kazuki Yamakawa, Daisuke Algebraic Geometry Symplectic Geometry Primary 14M35, Secondary 34M40, 14J42, 32G34, 53D30 In this paper, we study wild character varieties on compact Riemann surfaces and construct Poisson maps from wild to tame character varieties by unfolding irregular singularities into regular ones. Furthermore, we show that these unfolding Poisson maps induce Poisson birational equivalences between wild and tame character varieties. This result provides an affirmative answer to a conjecture posed by Klimes, Paul, and Ramis. |
| title | Unfolding of wild character varieties |
| topic | Algebraic Geometry Symplectic Geometry Primary 14M35, Secondary 34M40, 14J42, 32G34, 53D30 |
| url | https://arxiv.org/abs/2511.01221 |