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Complete classification of algebraically primitive Teichmüller curves in Ωℳg(g−1,g−1)hyp
Abstract
We give a complete classification of algebraically primitive Teichmüller curves in Ωℳg(g−1,g−1)hyp for g>2. These curves are precisely those generated by the Veech 2p-gons, where p=2g+1 is prime.
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BibTeX
@misc{lee2026complete,
title = {{Complete classification of algebraically primitive Teichmüller curves in $Ω\mathcalM_g(g-1,g-1)^\mathrmhyp$}},
author = {Myeongjae Lee},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.24587},
eprint = {2609.24587},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.24587},
}
RIS
TY - UNPB
TI - Complete classification of algebraically primitive Teichmüller curves in Ωℳ_g(g−1,g−1)^hyp
AU - Myeongjae Lee
PY - 2026
DA - 2026/09/21
PB - arXiv
DO - 10.48550/arxiv.2609.24587
UR - https://arxiv.org/abs/2609.24587
AB - We give a complete classification of algebraically primitive Teichmüller curves in Ωℳ_g(g−1,g−1)^hyp for g>2. These curves are precisely those generated by the Veech 2p-gons, where p=2g+1 is prime.
ER -