EliminationMatrices : Table of Contents
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ciResDeg -- compute a regularity index and partial degrees of the residual resultant over a complete intersection
ciResDegGH -- compute a regularity index used for the residual resultant over a complete intersection
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degHomPolMap -- given a subset of variables 'var' of the polynomial ring R, it returns the base of monomials on these variables, and the matrix of coefficients of a morphism of free modules f:R(d1)+...+R(dn)->R_d with respect to these variables
detComplex -- This function calculates the determinant of a graded ChainComplex with respect to a subset of the variables of the polynomial ring in a fixed degree.
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detResDeg -- compute a regularity index and partial degrees of the determinantal resultant
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Exact -- Strategy for functions that uses rank computation.
listDetComplex -- This function calculates the list with the determinants of some minors of the maps of a graded ChainComplex with respect to a subset of the variables of the polynomial ring in a fixed degree.
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Macaulay -- Strategy for eliminationMatrix.
macaulayFormula -- returns two matrices such that the ratio of their determinants is the Macaulay resultant
mapsComplex -- This function calculates the maps of a graded ChainComplex with respect to a subset of the variables of the polynomial ring in a fixed degree.
maxCol -- Returns a submatrix form by a maximal set of linear independent columns.
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maxMinor -- Returns a maximal minor of the matrix of full rank.
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minorsComplex -- This function calculates some minors of the maps of a graded ChainComplex with respect to a subset of the variables of the polynomial ring in a fixed degree. The choice of the minors is according to the construction of the determinant of a complex
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Numeric -- Strategy for functions that uses rank computation.
regularityVar -- computes the Castelnuovo-Mumford regularity of homogeneous ideals in terms of Betti numbers, with respect to some of the variables of the ring
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