# Algebraic Function Fields¶

Sage allows basic computations with elements and ideals in orders of algebraic function fields over arbitrary constant fields. Advanced computations, like computing the genus or a basis of the Riemann-Roch space of a divisor, are available for function fields over finite fields, number fields, and $$\QQbar$$.

A reference for the basic theory of algebraic function fields is [Stich2009].