Welcome to MCLF’s documentation!

Contents:

• Curves
  • Smooth projective curves over a field
  • Morphisms of smooth projective curves
  • Superelliptic curves
• The Berkovich line
  • The Berkovich line over a discretely valued field
  • Finite subtrees of the Berkovich line
  • Points of type V on the Berkovich line
  • Affinoid subdomains of the Berkovich line
  • Piecewise affine functions on the Berkovich projective line
• p-adic extensions
  • Fake p-adic completions
  • Fake \(p\)-adic embeddings
  • Fake \(p\)-adic extensions
  • Weak p-adic Galois extensions
• Semistable reduction of curves
  • Semistable reduction of a smooth projective curve over a local field
  • Admissible reduction of curves
  • Semistable models of superelliptic curves of degree \(p\)
  • Reduction trees: a data structure for semistable reduction of covers of the projective line

Indices and tables

• Index
• Module Index
• Search Page