Module

CommAlgIdealTameGroups.lean

Nyll.EtaleFundamentalGroups.Inertia.CommAlgIdealTameGroups
2 declarations indexed from sourceView source ↗

Intrinsic ideal inertia and tame root groups

Defines the group objects for coefficient-automorphism inertia and the full residue roots of its computed tame order.

Imports6
Imported by22

Declarations

EtaleFundamentalGroups.Inertia.commAlgIdealInertiaGroup

The actual ideal inertia for the native coefficient automorphisms.

Source context 3 commands

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

noncomputable section
namespace EtaleFundamentalGroups.Inertia
universe u v
def commAlgIdealInertiaGroup (A : Type u) [CommRing A] (B : CommAlgCat.{v} A)
    (Q : Ideal B.carrier) : GrpCat.{v}
EtaleFundamentalGroups.Inertia.commAlgIdealTameRootsGroup

The full native residue-root group of the actual computed tame order.

Source context 3 commands

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

noncomputable section
namespace EtaleFundamentalGroups.Inertia
universe u v
def commAlgIdealTameRootsGroup (A : Type u) [CommRing A] (B : CommAlgCat.{v} A)
    [IsDedekindDomain B] (Q : Ideal B) [Q.IsPrime] (hQ : Q ≠ ⊥) : GrpCat.{v}