Macaulay2 » Documentation
Packages » MatchingFields :: Table of Contents
next | previous | forward | backward | up | index | toc

# 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