Realization of symmetry of $A^{(1)*}_2$-surfaces as transformations of logarithmic connections
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908484432297984 |
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| author | Matsumoto, Takafumi |
| author_facet | Matsumoto, Takafumi |
| contents | An $A^{(1)*}_2$-surface is a space of initial conditions of certain difference Painlevé equations. $A^{(1)*}_2$-surfaces are realized as the moduli spaces of parabolic logarithmic connections. In this paper, we realize the symmetry of $A^{(1)*}_2$-surfaces as transformations of parabolic logarithmic connections. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_07920 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Realization of symmetry of $A^{(1)*}_2$-surfaces as transformations of logarithmic connections Matsumoto, Takafumi Algebraic Geometry Classical Analysis and ODEs An $A^{(1)*}_2$-surface is a space of initial conditions of certain difference Painlevé equations. $A^{(1)*}_2$-surfaces are realized as the moduli spaces of parabolic logarithmic connections. In this paper, we realize the symmetry of $A^{(1)*}_2$-surfaces as transformations of parabolic logarithmic connections. |
| title | Realization of symmetry of $A^{(1)*}_2$-surfaces as transformations of logarithmic connections |
| topic | Algebraic Geometry Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2508.07920 |