Module

IsUnramifiedOutsideModulus.lean

Nyll.ClassFieldTheory.Definitions.ConductorsAndRayClassFields.IsUnramifiedOutsideModulus
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Unramifiedness outside the support of a ray modulus

Declarations

ClassFieldTheory.IsUnramifiedOutsideModulus

A number-field extension is unramified away from the finite primes and real places occurring in a ray modulus. Only the support of the finite part is used; this predicate does not bound conductor exponents.

Source context 4 commands

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

open scoped NumberField
open NumberField IsDedekindDomain
namespace ClassFieldTheory
universe u v
def IsUnramifiedOutsideModulus
    (K : Type u) (L : Type v)
    [Field K] [NumberField K]
    [Field L] [NumberField L] [Algebra K L]
    (m : RayClassModulus K) : Prop