Arithmetic Veech sublattices of SL(2,Z)
Arithmetic Veech sublattices of SL(2,Z)
We prove that every algebraic curve X/Q¯ is birational over C to a Teichmüller curve. This result is a corollary of our main theorem, which asserts that most finite-index subgroups of SL(2,Z) are Veech groups.