Riemann surfaces

one-dimensional complex manifold

model of the extended complex plane plus a point at infinity

special functions of several complex variables

fractional linear transformation on the complex projective line

Theorem in differential geometry

a function related to the indefinite integral of a differential of the first kind

lemma in complex analysis

subset of a space acted upon by a group, which contains exactly one point from each of the orbits

discrete subgroup of the real projective special linear group of dimension 2

theorem that every simply connected Riemann surface is conformally equivalent to one of three Riemann surfaces: the open unit disk, the complex plane, or the Riemann sphere

Result concerning properties of Galois representations associated with modular forms

algebraic curve constructed as a quotient of the complex upper half-plane by the action of a congruence subgroup of the modular group of integral 2×2 matrices

compact Riemann surface of genus 3

parametrizes complex structures on a surface

mathematical formula

metric tensor describing constant negative (hyperbolic) curvature

generalized notion of counting curve intersections

genus-7 Hurwitz surface

In mathematics, a Riemann surface

polygon associated with a compact Riemann surface

compact Riemann surface with precisely 84(g − 1) automorphisms, where g is the genus of the surface