Editing Riemann surface (section)

=== Hyperbolic Riemann surfaces ===
In the remaining cases, ''X'' is a hyperbolic Riemann surface, that is isomorphic to a quotient of the upper half-plane by a [[Fuchsian group]] (this is sometimes called a [[Fuchsian model]] for the surface). The topological type of ''X'' can be any orientable surface save the [[torus]] and [[sphere]]. 

A case of particular interest is when ''X'' is compact. Then its topological type is described by its [[genus (mathematics)|genus]] {{nowrap|''g'' ≥ 2}}. Its Teichmüller space and moduli space are {{nowrap|(6''g'' − 6)}}-dimensional. A similar classification of Riemann surfaces of finite type (that is homeomorphic to a closed surface minus a finite number of points) can be given. However, in general the moduli space of Riemann surfaces of infinite topological type is too large to admit such a description.