Orbifold points on Teichmüller curves and Jacobians with complex multiplication

Abstract

For each integer D ≥ 5 with D ≡ 0 or 1 mod 4, the Weierstrass curve WD is an algebraic curve and a finite volume hyperbolic orbifold which admits an algebraic and isometric immersion into the moduli space of genus two Riemann surfaces. The Weierstrass curves are the main examples of Teichmüller curves in genus two. The primary goal of this paper is to… (More)

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