GlicciPointsInP3 : Index
- BEdegrees -- compute the degrees of the Buchsbaum-Eisenbud skew matrix
- BEdegrees(List) -- compute the degrees of the Buchsbaum-Eisenbud skew matrix
- checkCandidates -- check which numerical candidates lead to a bi-dominant Gorenstein linkage correspondence
- checkCandidates(List,Ring) -- check which numerical candidates lead to a bi-dominant Gorenstein linkage correspondence
- checkDimensionsHCG -- check that the dimension formula gives the dimension of the tangentspace at HC_G for a random choice of G
- checkDimensionsHCG(List,Ring) -- check that the dimension formula gives the dimension of the tangentspace at HC_G for a random choice of G
- createCandidates -- create numerical candidates for bi-dominant Gorenstein linkage correspondences
- createCandidates(ZZ) -- create numerical candidates for bi-dominant Gorenstein linkage correspondences
- dimFormula -- return dimension of HC_hV
- dimFormula(List) -- return dimension of HC_hV
- findSplittingExample -- find an example of a Gorenstein ideal of points with a subset of degree n
- findSplittingExample(Ring,List,List,ZZ) -- find an example of a Gorenstein ideal of points with a subset of degree n
- findSplittingExample(Ring,List,ZZ) -- find an example of a Gorenstein ideal of points with a subset of degree n
- getGraph -- compute the graph of the bi-dominant Gorenstein linkage correspondences.
- getGraph(List) -- compute the graph of the bi-dominant Gorenstein linkage correspondences.
- getGraph(Ring,ZZ) -- compute the graph of the bi-dominant Gorenstein linkage correspondences.
- GlicciPointsInP3 -- Experiments establishing direct Gorenstein linkages for finite subsets of P^3
- graphvizFile -- builds an input file for graphviz
- graphvizFile(String,String,List) -- builds an input file for graphviz
- hasFactor -- check for a factor of desired degree
- hasFactor(Ideal,ZZ) -- check for a factor of desired degree
- hasFactor(RingElement,ZZ) -- check for a factor of desired degree
- hVector -- compute the h-vector
- hVector(Ideal) -- compute the h-vector
- hVector(Module) -- compute the h-vector
- hVector(ZZ) -- compute the h-vector
- isEven -- Is L the class of an even permutation?
- isEven(List) -- Is L the class of an even permutation?
- isEven(Partition) -- Is L the class of an even permutation?
- listhVectors -- list all admissible h-vectors of Gorenstein points up to b
- listhVectors(ZZ) -- list all admissible h-vectors of Gorenstein points up to b
- numOfIrreducible -- the number of irreducible polynomials
- numOfIrreducible(ZZ,PolynomialRing) -- the number of irreducible polynomials
- numOfIrreducible(ZZ,ZZ) -- the number of irreducible polynomials
- numOfSquareFree -- the number of irreducible polynomials
- numOfSquareFree(ZZ,PolynomialRing) -- the number of irreducible polynomials
- pickGorensteinIdeal -- select a codimension 3 Gorenstein ideal
- pickGorensteinIdeal(Ring,List) -- select a codimension 3 Gorenstein ideal
- pickGorensteinIdeal(Ring,List,List) -- select a codimension 3 Gorenstein ideal
- polynomialsWithFactor -- number of monic square-free polynomials of degree n with factor of degree degree k over F_q
- polynomialsWithFactor(ZZ,ZZ,PolynomialRing) -- number of monic square-free polynomials of degree n with factor of degree degree k over F_q
- primeDivisors -- compute List of prime factors of an integer
- primeDivisors(ZZ) -- compute List of prime factors of an integer
- probOfFactor -- probability that a polynomial of degree n is square free AND has a factor of degree k over the same finite ground field
- probOfFactor(ZZ,ZZ) -- probability that a polynomial of degree n is square free AND has a factor of degree k over the same finite ground field
- probOfFactor(ZZ,ZZ,PolynomialRing,ZZ) -- probability that a polynomial of degree n is square free AND has a factor of degree k over the same finite ground field
- probOfFactor(ZZ,ZZ,ZZ) -- probability that a polynomial of degree n is square free AND has a factor of degree k over the same finite ground field
- sizeConjClass -- number of permutations with given cycle decomposition
- sizeConjClass(List) -- number of permutations with given cycle decomposition
- sizeConjClass(Partition) -- number of permutations with given cycle decomposition
- tangentDimension -- compute the dimension of tangentspaces
- tangentDimension(Ideal) -- compute the dimension of tangentspaces
- tangentDimension(Ideal,Ideal) -- compute the dimension of tangentspaces
- tangentDimension(Ideal,Ideal,Ideal) -- compute the dimension of tangentspaces
- testSplitting -- test a random Gorenstein set of points in P^3 for a factor
- testSplitting(Ring,List,ZZ) -- test a random Gorenstein set of points in P^3 for a factor
- verifyAllAssertionsOfThePaper -- print commands to verfy the assertions of the paper
- verifyGraphInSmallCharacteristic -- print commands to verfy the assertions of the paper
- verifyGraphInSmallCharacteristic(ZZ,ZZ) -- print commands to verfy the assertions of the paper