Module

IsLocalHilbertPairing.lean

Nyll.ClassFieldTheory.Definitions.HilbertSymbols.IsLocalHilbertPairing
1 declaration indexed from sourceView source ↗

Local Hilbert pairings

Declarations

ClassFieldTheory.HilbertPairing.IsLocalHilbertPairing

The algebraic laws and Kummer norm-residue criterion required of a local Hilbert pairing. These properties do not fix the value normalization of the symbol; that requires a comparison with a normalized Artin map.

Source context 2 commands

Surrounding namespaces, section variables, and local commands at this declaration.

namespace ClassFieldTheory.HilbertPairing
universe u
def IsLocalHilbertPairing
    {K : Type u} [Field K] {n : ℕ+}
    (B : HilbertPairing K n) : Prop