15 citations · 15 across the 1 of their papers we have counts for
4 papers
Orbifold points on Teichmüller curves and Jacobians with complex multiplication
Ronen E. Mukamel
For each integer with or , the Weierstrass curve is an algebraic curve and a finite volume hyperbolic orbifold which admits an algebraic an…
Visualizing the unit ball for the Teichmüller metric
Ronen E. Mukamel
We describe a method to compute the norm on the cotangent space to the moduli space of Riemann surfaces associated to the Finsler Teichmüller metric. Our method involves computing…
Real multiplication through explicit correspondences
Abhinav Kumar, Ronen E. Mukamel
We compute equations for real multiplication on the divisor classes of genus two curves via algebraic correspondences. We do so by implementing van Wamelen's method for computing e…
Algebraic models and arithmetic geometry of Teichmüller curves in genus two
Abhinav Kumar, Ronen E. Mukamel
A Teichmüller 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 Teichmül…