Prefer a chat interface with context about you and your work?
Algebraic Models and Arithmetic Geometry of Teichmüller Curves in Genus Two
A Teichm\"uller curve is an algebraic and isometric immersion of an algebraic curve into the moduli space of Riemann surfaces. We give the first explicit algebraic models of Teichm\"uller curves of positive genus. Our methods are based on the study of certain Hilbert modular forms and the use of Ahlfors's …