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