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Finiteness results for Teichmueller curves

Martin Moeller
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Abstract

We show that for each genus there are only finitely many algebraically primitive Teichmueller curves C, such that i) C lies in the hyperelliptic locus and ii) C is generated by an abelian differential with two zeros of order g-1. We prove moreover that for these Teichmueller curves the trace field of the affine group is not only totally real but cyclotomic.

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Martin Moeller. 2005-09-04. Finiteness results for Teichmueller curves. https://arxiv.org/abs/math/0509079

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