Complete classification of algebraically primitive Teichmüller curves in $Ω\mathcal{M}_g(g-1,g-1)^{\mathrm{hyp}}$
Year: 2026
Type: preprint
Abstract: We give a complete classification of algebraically primitive Teichmüller curves in $Ω\mathcal M_g(g-1,g-1)^{\mathrm{hyp}}$ for $g>2$. These curves are precisely those generated by the Veech $2p$-gons, where $p=2g+1$ is prime.
Source: arXiv (Cornell University)
Author: Lee, Myeongjae
Institutions: Indiana University Bloomington, Indiana University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7214000470