Periodic Points of Prym Eigenforms
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866912593154670592 |
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| author | Freedman, Sam |
| author_facet | Freedman, Sam |
| contents | A point of a Veech surface is periodic if it has a finite orbit under the surface's affine automorphism group. We show that the periodic points of Prym eigenforms in the minimal strata of translation surfaces in genera 2, 3 and 4 are the fixed points of the Prym involution. This answers a question of Apisa--Wright and gives a geometric proof of Möller's classification of periodic points of Veech surfaces in the minimal stratum in genus 2. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_13503 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Periodic Points of Prym Eigenforms Freedman, Sam Geometric Topology Dynamical Systems A point of a Veech surface is periodic if it has a finite orbit under the surface's affine automorphism group. We show that the periodic points of Prym eigenforms in the minimal strata of translation surfaces in genera 2, 3 and 4 are the fixed points of the Prym involution. This answers a question of Apisa--Wright and gives a geometric proof of Möller's classification of periodic points of Veech surfaces in the minimal stratum in genus 2. |
| title | Periodic Points of Prym Eigenforms |
| topic | Geometric Topology Dynamical Systems |
| url | https://arxiv.org/abs/2210.13503 |