Arithmetic Geometry
===================

.. toctree::
   :hidden:

   EllipticCurves/index-elliptic-curves
   HyperellipticCurves/index-hyperelliptic-curves
   Jacobians/index-jacobians
   RationalPointsDescent/index-rational-points-descent
   RepresentationsOfLocalFields/index-representations-of-local-fields

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

   .. grid-item-card:: Elliptic Curves
      :link: EllipticCurves/index-elliptic-curves
      :link-type: doc

      Elliptic curve models, arithmetic and isogenies.

   .. grid-item-card:: Hyperelliptic Curves
      :link: HyperellipticCurves/index-hyperelliptic-curves
      :link-type: doc

      Hyperelliptic curve models and divisor arithmetic.

   .. grid-item-card:: Jacobians
      :link: Jacobians/index-jacobians
      :link-type: doc

      Jacobian varieties of curves and their group structure.

   .. grid-item-card:: Rational Points & Descent
      :link: RationalPointsDescent/index-rational-points-descent
      :link-type: doc

      2-descent, Selmer groups and rational point search.

   .. grid-item-card:: Representations of Local Fields
      :link: RepresentationsOfLocalFields/index-representations-of-local-fields
      :link-type: doc

      Admissible representations of GL\ :sub:`2`\ (Q\ :sub:`p`\ ) and local Langlands.