Algebraically primitive invariant subvarieties with quadratic field of definition
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866916373532246016 |
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| author | Apisa, Paul Aulicino, David |
| author_facet | Apisa, Paul Aulicino, David |
| contents | We show that the only algebraically primitive invariant subvarieties of strata of translation surfaces with quadratic field of definition are the decagon, Weierstrass curves, and eigenform loci in genus two and the rank two example in the minimal stratum of genus four translation surfaces discovered by Eskin-McMullen-Mukamel-Wright. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_10273 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Algebraically primitive invariant subvarieties with quadratic field of definition Apisa, Paul Aulicino, David Dynamical Systems Geometric Topology We show that the only algebraically primitive invariant subvarieties of strata of translation surfaces with quadratic field of definition are the decagon, Weierstrass curves, and eigenform loci in genus two and the rank two example in the minimal stratum of genus four translation surfaces discovered by Eskin-McMullen-Mukamel-Wright. |
| title | Algebraically primitive invariant subvarieties with quadratic field of definition |
| topic | Dynamical Systems Geometric Topology |
| url | https://arxiv.org/abs/2404.10273 |