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arXiv · 2305.03309

Teichm\"uller curves in hyperelliptic components of meromorphic strata

Martin Möller·Scott Mullane
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Abstract

We provide a complete classification of Teichm\"uller curves occurring in hyperelliptic components of the meromorphic strata of differentials. Using a non-existence criterion based on how Teichm\"uller 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.

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Martin Möller, Scott Mullane. 2023-05-05. Teichm\"uller curves in hyperelliptic components of meromorphic strata. https://doi.org/10.1017/s1474748025000088

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