Arithmetic Veech sublattices of $\SL(2,\Z)$

Abstract

We prove that every algebraic curve X defined over the algebraic closure of the rationals is birational over the complex numbers to a Teichmuller curve.

version 2. Substantial changes including the title. To appear in Duke J. of Math. 12 pages

References in corpus (3)

• The congruence subgroup property for $Aut{F}_2$: A group-theoretic proof of Asada's theorem
• Noncongruence subgroups in H(2)
• The congruence subgroup problem for braid groups: Thurston's proof

Cited by in corpus (8)

• The Birman-Hilden theory
• Profinite rigidity and surface bundles over the circle
• Teichmüller dynamics in the eyes of an algebraic geometer
• Problems, Questions, and Conjectures about Mapping Class Groups
• General origamis and Veech groups of flat surfaces
• A characterization of Veech groups in terms of origamis
• Tamely Ramified Covers of the Projective Line with Alternating and Symmetric Monodromy
• Loop subgroups of F_r and the image of their stabilizer subgroups in GL_r(Z)