Number theory

Tags: #NT

Topics

  • absolute value
  • Reduction

-place - Archimedean place - Base change - Jacobian - Picard group - (e.g. of \(L_{K(n)}S^O\)) - Adeles - Ideles - Lubin-Tate space - Lubin-Tate theory - uniformizer - Faltings theorem - p-adic integers - Dirichlet’s theorem - order \({\mathcal{O}}_K\) in a number field? - quadratic form - valuation ring - base change

See also Big Conjectures.

Algebraic Number Theory

See algebraic number theory

  • ring of integers
  • Archimedean field
  • ramified primes

Class Field Theory

  • Inertia
  • local field
  • Global field

Modular Forms

  • modular curve
  • modular form

Algebraic Curves

  • Function field
  • divisor

Geometric

  • elliptic curve
  • Riemann-Roch
  • algebraic curve
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#NT