Local Fields

Local Fields#

p-adic Fields

p-adic numbers, extensions and arithmetic.

p-adic Fields
Formal Power Series

Laurent and power series rings and computations.

Formal Power Series
Completions

Completing number fields and function fields at primes.

Completions
Extensions

Unramified, totally ramified and general extensions.

Extensions
Newton Polygons

Newton polygon computation and applications to factorisation.

Newton Polygons