Teichmüller curves in hyperelliptic components of meromorphic strata
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909657600098304 |
|---|---|
| author | Möller, Martin Mullane, Scott |
| author_facet | Möller, Martin Mullane, Scott |
| contents | We provide a complete classification of Teichmüller curves occurring in hyperelliptic components of the meromorphic strata of differentials. Using a non-existence criterion based on how Teichmüller curves intersect the boundary of the moduli space we derive a contradiction to the algebraicity of any candidate outside of Hurwitz covers of strata with projective dimension one and Hurwitz covers of zero residue loci in strata with projective dimension two. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_03309 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Teichmüller curves in hyperelliptic components of meromorphic strata Möller, Martin Mullane, Scott Algebraic Geometry Dynamical Systems Geometric Topology We provide a complete classification of Teichmüller curves occurring in hyperelliptic components of the meromorphic strata of differentials. Using a non-existence criterion based on how Teichmüller curves intersect the boundary of the moduli space we derive a contradiction to the algebraicity of any candidate outside of Hurwitz covers of strata with projective dimension one and Hurwitz covers of zero residue loci in strata with projective dimension two. |
| title | Teichmüller curves in hyperelliptic components of meromorphic strata |
| topic | Algebraic Geometry Dynamical Systems Geometric Topology |
| url | https://arxiv.org/abs/2305.03309 |