ring_theory.valuation.ramification_group
⟷
Mathlib.RingTheory.Valuation.RamificationGroup
The following section lists changes to this file in mathlib3 and mathlib4 that occured after the initial port. Most recent changes are shown first. Hovering over a commit will show all commits associated with the same mathlib3 commit.
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mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451
@@ -3,8 +3,8 @@ Copyright (c) 2022 Michail Karatarakis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Michail Karatarakis
-/
-import Mathbin.RingTheory.Ideal.LocalRing
-import Mathbin.RingTheory.Valuation.ValuationSubring
+import RingTheory.Ideal.LocalRing
+import RingTheory.Valuation.ValuationSubring
#align_import ring_theory.valuation.ramification_group from "leanprover-community/mathlib"@"1b089e3bdc3ce6b39cd472543474a0a137128c6c"
mathlib commit https://github.com/leanprover-community/mathlib/commit/32a7e535287f9c73f2e4d2aef306a39190f0b504
@@ -56,7 +56,7 @@ instance decompositionSubgroupMulSemiringAction (A : ValuationSubring L) :
smul_add := fun g k l => Subtype.ext <| smul_add g k l
smul_zero := fun g => Subtype.ext <| smul_zero g
smul_one := fun g => Subtype.ext <| smul_one g
- smul_mul := fun g k l => Subtype.ext <| smul_mul' g k l }
+ smul_hMul := fun g k l => Subtype.ext <| smul_mul' g k l }
#align valuation_subring.decomposition_subgroup_mul_semiring_action ValuationSubring.decompositionSubgroupMulSemiringAction
-/
mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345
@@ -2,15 +2,12 @@
Copyright (c) 2022 Michail Karatarakis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Michail Karatarakis
-
-! This file was ported from Lean 3 source module ring_theory.valuation.ramification_group
-! leanprover-community/mathlib commit 1b089e3bdc3ce6b39cd472543474a0a137128c6c
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathbin.RingTheory.Ideal.LocalRing
import Mathbin.RingTheory.Valuation.ValuationSubring
+#align_import ring_theory.valuation.ramification_group from "leanprover-community/mathlib"@"1b089e3bdc3ce6b39cd472543474a0a137128c6c"
+
/-!
# Ramification groups
mathlib commit https://github.com/leanprover-community/mathlib/commit/d30d31261cdb4d2f5e612eabc3c4bf45556350d5
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
Authors: Michail Karatarakis
! This file was ported from Lean 3 source module ring_theory.valuation.ramification_group
-! leanprover-community/mathlib commit 88b76e4c78d85d9ac31d991aa05ff22c09da889b
+! leanprover-community/mathlib commit 1b089e3bdc3ce6b39cd472543474a0a137128c6c
! Please do not edit these lines, except to modify the commit id
! if you have ported upstream changes.
-/
@@ -14,6 +14,9 @@ import Mathbin.RingTheory.Valuation.ValuationSubring
/-!
# Ramification groups
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
The decomposition subgroup and inertia subgroups.
TODO: Define higher ramification groups in lower numbering
mathlib commit https://github.com/leanprover-community/mathlib/commit/f2ad3645af9effcdb587637dc28a6074edc813f9
@@ -26,13 +26,16 @@ open scoped Pointwise
variable (K : Type _) {L : Type _} [Field K] [Field L] [Algebra K L]
+#print ValuationSubring.decompositionSubgroup /-
/-- The decomposition subgroup defined as the stabilizer of the action
on the type of all valuation subrings of the field. -/
@[reducible]
def decompositionSubgroup (A : ValuationSubring L) : Subgroup (L ≃ₐ[K] L) :=
MulAction.stabilizer (L ≃ₐ[K] L) A
#align valuation_subring.decomposition_subgroup ValuationSubring.decompositionSubgroup
+-/
+#print ValuationSubring.subMulAction /-
/-- The valuation subring `A` (considered as a subset of `L`)
is stable under the action of the decomposition group. -/
def subMulAction (A : ValuationSubring L) : SubMulAction (A.decompositionSubgroup K) L
@@ -40,7 +43,9 @@ def subMulAction (A : ValuationSubring L) : SubMulAction (A.decompositionSubgrou
carrier := A
smul_mem' g l h := Set.mem_of_mem_of_subset (Set.smul_mem_smul_set h) g.Prop.le
#align valuation_subring.sub_mul_action ValuationSubring.subMulAction
+-/
+#print ValuationSubring.decompositionSubgroupMulSemiringAction /-
/-- The multiplicative action of the decomposition subgroup on `A`. -/
instance decompositionSubgroupMulSemiringAction (A : ValuationSubring L) :
MulSemiringAction (A.decompositionSubgroup K) A :=
@@ -53,13 +58,16 @@ instance decompositionSubgroupMulSemiringAction (A : ValuationSubring L) :
smul_one := fun g => Subtype.ext <| smul_one g
smul_mul := fun g k l => Subtype.ext <| smul_mul' g k l }
#align valuation_subring.decomposition_subgroup_mul_semiring_action ValuationSubring.decompositionSubgroupMulSemiringAction
+-/
+#print ValuationSubring.inertiaSubgroup /-
/-- The inertia subgroup defined as the kernel of the group homomorphism from
the decomposition subgroup to the group of automorphisms of the residue field of `A`. -/
def inertiaSubgroup (A : ValuationSubring L) : Subgroup (A.decompositionSubgroup K) :=
MonoidHom.ker <|
MulSemiringAction.toRingAut (A.decompositionSubgroup K) (LocalRing.ResidueField A)
#align valuation_subring.inertia_subgroup ValuationSubring.inertiaSubgroup
+-/
end ValuationSubring
mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb
@@ -22,7 +22,7 @@ TODO: Define higher ramification groups in lower numbering
namespace ValuationSubring
-open Pointwise
+open scoped Pointwise
variable (K : Type _) {L : Type _} [Field K] [Field L] [Algebra K L]
mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc
Type _
and Sort _
(#6499)
We remove all possible occurences of Type _
and Sort _
in favor of Type*
and Sort*
.
This has nice performance benefits.
@@ -21,7 +21,7 @@ namespace ValuationSubring
open scoped Pointwise
-variable (K : Type _) {L : Type _} [Field K] [Field L] [Algebra K L]
+variable (K : Type*) {L : Type*} [Field K] [Field L] [Algebra K L]
/-- The decomposition subgroup defined as the stabilizer of the action
on the type of all valuation subrings of the field. -/
@@ -2,15 +2,12 @@
Copyright (c) 2022 Michail Karatarakis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Michail Karatarakis
-
-! This file was ported from Lean 3 source module ring_theory.valuation.ramification_group
-! leanprover-community/mathlib commit 88b76e4c78d85d9ac31d991aa05ff22c09da889b
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathlib.RingTheory.Ideal.LocalRing
import Mathlib.RingTheory.Valuation.ValuationSubring
+#align_import ring_theory.valuation.ramification_group from "leanprover-community/mathlib"@"88b76e4c78d85d9ac31d991aa05ff22c09da889b"
+
/-!
# Ramification groups
The unported dependencies are