• 1 p-adic Fields ▶
    • 1.1 p-adic Equations
    • 1.2 Squares in the p-adic units
    • 1.3 Units and Legendre symbols
  • 2 Hilbert symbol ▶
    • 2.1 Hilbert symbol over a field ▶
      • 2.1.1 Basic properties of the Hilbert symbol
      • 2.1.2 Local Properties
      • 2.1.3 Global properties of the Hilbert symbol
      • 2.1.4 Approximation and Existence Theorem
  • 3 Quadratic Forms over the Rationals and the p-adics ▶
    • 3.1 Quadratic Forms ▶
      • 3.1.1 Orthogonal basis
      • 3.1.2 Translations
    • 3.2 Quadratic Forms over the p-adics
    • 3.3 Hasse–Minkowski
  • Dependency graph

Hasse Principle

Nirvana Coppola María Inés de Frutos-Fernández Mallory Dolorfino Kate Finnerty Catherine Hsu Chi-Yun Hsu

  • 1 p-adic Fields
    • 1.1 p-adic Equations
    • 1.2 Squares in the p-adic units
    • 1.3 Units and Legendre symbols
  • 2 Hilbert symbol
    • 2.1 Hilbert symbol over a field
      • 2.1.1 Basic properties of the Hilbert symbol
      • 2.1.2 Local Properties
      • 2.1.3 Global properties of the Hilbert symbol
      • 2.1.4 Approximation and Existence Theorem
  • 3 Quadratic Forms over the Rationals and the p-adics
    • 3.1 Quadratic Forms
      • 3.1.1 Orthogonal basis
      • 3.1.2 Translations
    • 3.2 Quadratic Forms over the p-adics
    • 3.3 Hasse–Minkowski