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LinearTruncations : Table of Contents
LinearTruncations
-- truncations of a multigraded module that give linear resolutions
multigradedPolynomialRing
-- produces polynomial rings with standard multigradings
irrelevantIdeal
-- gives the irrelevant ideal of the coordinate ring of a product of projective spaces
diagonalMultidegrees
-- t-tuples of non-negative integers with sum equal to d
findMins
-- calculates the minimal elements of a subset of ZZ^r
findRegion
-- finds minimal multidegree(s) in a given region where an ideal or module satisfies a Boolean function
partialRegularities
-- calculates Castelnuovo-Mumford regularity in each component of a multigrading
isLinearComplex
-- tests whether a complex of graded modules is linear
linearTruncations
-- finds minimal multidegree(s) in a given range where the resolution of a truncated module is linear
supportOfTor
-- computes multidegrees in the support of Tor_i(M,k), where k is the residue field
linearTruncationsBound
-- bounds the region where truncations of a module have linear resolutions
regularityBound
-- bounds the multigraded regularity of a module
isQuasiLinear
-- checks whether degrees in the resolution of a truncation are at most those of the irrelevant ideal
compMin
-- takes componentwise minimum or maximum of a list of lists