30XX 


Functions of a complex variable {For analysis on manifolds, see 58XX} 

30Fxx 

Riemann surfaces 


30F10 
Compact Riemann surfaces and uniformization [See also 14H15, 32G15] 


30F15 
Harmonic functions on Riemann surfaces 


30F20 
Classification theory of Riemann surfaces 


30F25 
Ideal boundary theory 


30F30 
Differentials on Riemann surfaces 


30F35 
Fuchsian groups and automorphic functions [See also 11Fxx, 20H10, 22E40, 32Gxx, 32Nxx] 


30F40 
Kleinian groups [See also 20H10] 


30F45 
Conformal metrics (hyperbolic, Poincaré, distance functions) 


30F50 
Klein surfaces 


30F60 
Teichmüller theory [See also 32G15] 


30F99 
None of the above, but in this section 