Veech fibrations
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866909902672232448 |
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| author | Freedman, Sam Lucas, Trent |
| author_facet | Freedman, Sam Lucas, Trent |
| contents | We investigate complex surfaces that fiber over Teichmüller curves where the generic fiber is a Veech surface. When the fiber has genus one, these surfaces are elliptic fibrations; for higher genus fibers, they are typically minimal surfaces of general type. We compute the topological and complex-geometric invariants of these surfaces via the monodromy action on the mod-$m$ homology of the fiber. We get exact values of the invariants for all known algebraically primitive Teichmüller curves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_02325 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Veech fibrations Freedman, Sam Lucas, Trent Geometric Topology Algebraic Geometry Dynamical Systems 32G15 We investigate complex surfaces that fiber over Teichmüller curves where the generic fiber is a Veech surface. When the fiber has genus one, these surfaces are elliptic fibrations; for higher genus fibers, they are typically minimal surfaces of general type. We compute the topological and complex-geometric invariants of these surfaces via the monodromy action on the mod-$m$ homology of the fiber. We get exact values of the invariants for all known algebraically primitive Teichmüller curves. |
| title | Veech fibrations |
| topic | Geometric Topology Algebraic Geometry Dynamical Systems 32G15 |
| url | https://arxiv.org/abs/2310.02325 |