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].

• Function Fields
• Elements of function fields
• Orders of function fields
• Ideals of function fields
• Places of function fields
• Divisors of function fields
• Differentials of function fields
• Valuation rings of function fields
• Morphisms of function fields
• Factories to construct function fields

Indices and Tables

• Index

• Module Index

• Search Page