Local Fields
============

.. toctree::
   :hidden:

   PAdicFields/index-p-adic-fields
   FormalPowerSeries/index-formal-power-series
   Completions/index-completions
   Extensions/index-extensions
   NewtonPolygons/index-newton-polygons

.. grid:: 1 2 3 3
   :gutter: 3
   :class-container: index-topic-grid

   .. grid-item-card:: p-adic Fields
      :link: PAdicFields/index-p-adic-fields
      :link-type: doc

      p-adic numbers, extensions and arithmetic.

   .. grid-item-card:: Formal Power Series
      :link: FormalPowerSeries/index-formal-power-series
      :link-type: doc

      Laurent and power series rings and computations.

   .. grid-item-card:: Completions
      :link: Completions/index-completions
      :link-type: doc

      Completing number fields and function fields at primes.

   .. grid-item-card:: Extensions
      :link: Extensions/index-extensions
      :link-type: doc

      Unramified, totally ramified and general extensions.

   .. grid-item-card:: Newton Polygons
      :link: NewtonPolygons/index-newton-polygons
      :link-type: doc

      Newton polygon computation and applications to factorisation.