2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76256We 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.Algebraic GeometryGeometric Topologytext