MatchingFields : Index

• 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 -- Enlarge a (weight) 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(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 partial flag matching field
• getGrMatchingFields(FlMatchingField) -- The Grassmannian matching fields of a partial flag matching field
• getTuples -- The tuples of a matching field
• getTuples(MatchingField) -- The tuples of a matching field
• getTuples(TopeField) -- tuples of a tope field
• getWeightMatrix -- weight matrix that induces the matching field
• getWeightMatrix(MatchingField) -- weight matrix that induces the matching field
• getWeightPluecker -- weight of the Pluecker variables induced by the weight matrix
• getWeightPluecker(MatchingField) -- 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(Matrix) -- Construct a matching field for the Grassmannian variety
• grMatchingField(ZZ,ZZ,List) -- Construct a matching field for the Grassmannian variety
• html(FlMatchingField) -- display a matching field
• html(GrMatchingField) -- display a matching field
• html(MatchingField) -- display a matching field
• isCoherent -- Is the matching field coherent
• isCoherent(MatchingField) -- 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(MatchingField) -- 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
• MatchingField -- The class of Matching Fields
• matchingField -- Construct a matching field
• MatchingField == MatchingField -- equality of matching fields
• matchingField(List,List,Matrix) -- Construct a matching field
• matchingField(List,ZZ,List) -- Construct a 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(MatchingField) -- 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(MatchingField) -- 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(MatchingField) -- 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(MatchingField) -- 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(MatchingField) -- 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