TEICHMÜLLER CURVES IN HYPERELLIPTIC COMPONENTS OF MEROMORPHIC STRATA
Abstract 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.
Authors
- Benjamin Bakker (ORCID: https://orcid.org/0000-0001-6519-4916)
- Scott Mullane
- Martin Möller
Institutions
- Goethe University Frankfurt (DE)
- The University of Melbourne (AU)
- University of Illinois Chicago (US)
Publication Details
- Journal
- Journal of the Institute of Mathematics of Jussieu
- Published
- 2025-03-26
- DOI
- https://doi.org/10.1017/s1474748025000088
- Primary Topic
- Algebraic Geometry and Number Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Alexander von Humboldt-Stiftung
- Deutsche Forschungsgemeinschaft
- H2020 European Research Council