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MatchingFields : Index
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algebraicMatroid
-- The algebraic matroid of the tropical cone that induces the matroid
algebraicMatroid(GrMatchingField)
-- The algebraic matroid of the tropical cone that induces the matroid
algebraicMatroidBases
-- The bases of the algebraic matroid
algebraicMatroidBases(GrMatchingField)
-- The bases of the algebraic matroid
algebraicMatroidCircuits
-- The bases of the algebraic matroid
algebraicMatroidCircuits(GrMatchingField)
-- The bases of the algebraic matroid
amalgamation
-- The $i$th amalgamation of a tope field
amalgamation(ZZ,GrMatchingField)
-- The $i$th amalgamation of a tope field
amalgamation(ZZ,TopeField)
-- The $i$th amalgamation of a tope field
diagonalMatchingField
-- the diagonal matching field
diagonalMatchingField(List,ZZ)
-- the diagonal matching field
diagonalMatchingField(ZZ)
-- the diagonal matching field
diagonalMatchingField(ZZ,ZZ)
-- the diagonal matching field
ExtraZeroRows
-- enlarging a matrix with zero rows
FlMatchingField
-- the class of matching fields for partial flag varieties
flMatchingField
-- Construct a matching field for a partial flag variety
FlMatchingField == FlMatchingField
-- equality of flag matching fields
flMatchingField(List,Matrix)
-- Construct a matching field for a partial flag variety
flMatchingField(List,ZZ,List)
-- Construct a matching field for a partial flag variety
flMatchingField(Matrix)
-- Construct a matching field for a partial flag variety
getGrMatchingFields
-- The Grassmannian matching fields of a Flag matching field
getGrMatchingFields(FlMatchingField)
-- The Grassmannian matching fields of a Flag matching field
getTuples
-- The tuples of a matching field
getTuples(FlMatchingField)
-- The tuples of a matching field
getTuples(GrMatchingField)
-- The tuples of a matching field
getTuples(TopeField)
-- tuples of a tope field
getWeightMatrix
-- weight matrix that induces the matching field
getWeightMatrix(FlMatchingField)
-- weight matrix that induces the matching field
getWeightMatrix(GrMatchingField)
-- weight matrix that induces the matching field
getWeightPluecker
-- weight of the Pluecker variables induced by the weight matrix
getWeightPluecker(FlMatchingField)
-- weight of the Pluecker variables induced by the weight matrix
getWeightPluecker(GrMatchingField)
-- weight of the Pluecker variables induced by the weight matrix
Grassmannian(GrMatchingField)
-- The Pluecker ideal of a matching field
GrMatchingField
-- the class of Grassmannian matching fields
grMatchingField
-- Construct a matching field for the Grassmannian variety
GrMatchingField == GrMatchingField
-- equality of Grassmannian matching fields
grMatchingField(Matrix)
-- Construct a matching field for the Grassmannian variety
grMatchingField(ZZ,ZZ,List)
-- Construct a matching field for the Grassmannian variety
isCoherent
-- Is the matching field coherent
isCoherent(FlMatchingField)
-- Is the matching field coherent
isCoherent(GrMatchingField)
-- Is the matching field coherent
isLinkage
-- Test if a tope field is linkage
isLinkage(GrMatchingField)
-- Test if a tope field is linkage
isLinkage(TopeField)
-- Test if a tope field is linkage
isToricDegeneration
-- Does the matching field give rise to a toric degeneration
isToricDegeneration(FlMatchingField)
-- Does the matching field give rise to a toric degeneration
isToricDegeneration(GrMatchingField)
-- Does the matching field give rise to a toric degeneration
linearSpanTropCone
-- linear span of the tropical cone associated to the matching field
linearSpanTropCone(...,VerifyToricDegeneration=>...)
-- linear span of the tropical cone associated to the matching field
linearSpanTropCone(GrMatchingField)
-- linear span of the tropical cone associated to the matching field
matchingFieldFromPermutation
-- matching field parametrised by permutations
matchingFieldFromPermutation(...,PowerValue=>...)
-- matching field parametrised by permutations
matchingFieldFromPermutation(...,RowNum=>...)
-- matching field parametrised by permutations
matchingFieldFromPermutation(...,ScalingCoefficient=>...)
-- matching field parametrised by permutations
matchingFieldFromPermutation(...,UsePrimePowers=>...)
-- matching field parametrised by permutations
matchingFieldFromPermutation(List,ZZ,List)
-- matching field parametrised by permutations
matchingFieldFromPermutation(ZZ,ZZ,List)
-- matching field parametrised by permutations
matchingFieldIdeal
-- The toric ideal of a matching field
matchingFieldIdeal(...,MonomialOrder=>...)
-- The toric ideal of a matching field
matchingFieldIdeal(...,Strategy=>...)
-- The toric ideal of a matching field
matchingFieldIdeal(FlMatchingField)
-- The toric ideal of a matching field
matchingFieldIdeal(GrMatchingField)
-- The toric ideal of a matching field
matchingFieldPolytope
-- The polytope of a matching field
matchingFieldPolytope(...,ExtraZeroRows=>...)
-- The polytope of a matching field
matchingFieldPolytope(FlMatchingField)
-- The polytope of a matching field
matchingFieldPolytope(GrMatchingField)
-- The polytope of a matching field
matchingFieldRingMap
-- monomial map of the matching field
matchingFieldRingMap(...,MonomialOrder=>...)
-- monomial map of the matching field
matchingFieldRingMap(FlMatchingField)
-- monomial map of the matching field
matchingFieldRingMap(GrMatchingField)
-- monomial map of the matching field
MatchingFields
-- A package for working with matching fields for Grassmannians and partial flag varieties
matroidSubdivision
-- The matroid subdivision induced by the Pluecker weight of a coherent matching field
matroidSubdivision(GrMatchingField)
-- The matroid subdivision induced by the Pluecker weight of a coherent matching field
matroidSubdivision(ZZ,ZZ,List)
-- The matroid subdivision induced by the Pluecker weight of a coherent matching field
net(FlMatchingField)
-- display a matching field
net(GrMatchingField)
-- display a matching field
net(TopeField)
-- display a tope field
NOBody
-- Newton-Okounkov body of the matching field
NOBody(FlMatchingField)
-- Newton-Okounkov body of the matching field
NOBody(GrMatchingField)
-- Newton-Okounkov body of the matching field
plueckerAlgebra
-- Pluecker algebra of a (partial) flag variety
plueckerAlgebra(...,MonomialOrder=>...)
-- Pluecker algebra of a (partial) flag variety
plueckerAlgebra(FlMatchingField)
-- Pluecker algebra of a (partial) flag variety
plueckerAlgebra(GrMatchingField)
-- Pluecker algebra of a (partial) flag variety
plueckerIdeal
-- The Pluecker ideal of a matching field
plueckerIdeal(...,MonomialOrder=>...)
-- The Pluecker ideal of a matching field
plueckerIdeal(FlMatchingField)
-- The Pluecker ideal of a matching field
plueckerIdeal(GrMatchingField)
-- The Pluecker ideal of a matching field
plueckerMap
-- The ring map of the Pluecker embedding
plueckerMap(...,MonomialOrder=>...)
-- The ring map of the Pluecker embedding
plueckerMap(FlMatchingField)
-- The ring map of the Pluecker embedding
plueckerMap(GrMatchingField)
-- The ring map of the Pluecker embedding
PowerValue
-- use a diagonal weight matrix with multiples of certain powers
RowNum
-- the row of the diagonal weight matrix to permute
ScalingCoefficient
-- scale the permuted row of the weight matrix
TopeField
-- A tope field structure on a matching field
topeField
-- Constructor of a tope field
topeField(GrMatchingField)
-- Constructor of a tope field
topeField(GrMatchingField,List)
-- Constructor of a tope field
UsePrimePowers
-- use a diagonal weight matrix with multiples of certain powers
VerifyToricDegeneration
-- linear span of the tropical cone associated to the matching field
weightMatrixCone
-- The cone of weight matrices that induce the matching field
weightMatrixCone(...,ExtraZeroRows=>...)
-- The cone of weight matrices that induce the matching field
weightMatrixCone(FlMatchingField)
-- The cone of weight matrices that induce the matching field
weightMatrixCone(GrMatchingField)
-- The cone of weight matrices that induce the matching field