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 global function fields.

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

.. toctree::
   :maxdepth: 1

   sage/rings/function_field/function_field
   sage/rings/function_field/element
   sage/rings/function_field/order
   sage/rings/function_field/ideal
   sage/rings/function_field/place
   sage/rings/function_field/divisor
   sage/rings/function_field/differential
   sage/rings/function_field/valuation_ring
   sage/rings/function_field/maps
   sage/rings/function_field/constructor

.. include:: ../footer.txt