Resultants : Index

• AffineChartGrass -- use an affine chart on the Grassmannian
• AffineChartProj -- use an affine chart on the projective space
• affineDiscriminant -- affine discriminant
• affineDiscriminant(...,Algorithm=>...)
• affineDiscriminant(RingElement) -- affine discriminant
• affineResultant -- affine resultant
• affineResultant(...,Algorithm=>...)
• affineResultant(List) -- affine resultant
• affineResultant(Matrix) -- affine resultant
• AssumeOrdinary -- whether the expected codimension is 1
• cayleyTrick -- Cayley trick
• cayleyTrick(...,Duality=>...) -- whether to use dual Plücker coordinates
• cayleyTrick(...,Variable=>...) -- specify a name for a variable
• cayleyTrick(Ideal,ZZ) -- Cayley trick
• chowEquations -- Chow equations of a projective variety
• chowEquations(...,Variable=>...) -- specify a name for a variable
• chowEquations(RingElement) -- Chow equations of a projective variety
• chowForm -- Chow form of a projective variety
• chowForm(...,AffineChartGrass=>...) -- use an affine chart on the Grassmannian
• chowForm(...,AffineChartProj=>...) -- use an affine chart on the projective space
• chowForm(...,Duality=>...) -- whether to use dual Plücker coordinates
• chowForm(...,Variable=>...) -- specify a name for a variable
• chowForm(Ideal) -- Chow form of a projective variety
• chowForm(RingMap) -- Chow form of a projective variety
• conormalVariety -- conormal variety
• conormalVariety(...,SingularLocus=>...) -- pass the singular locus of the variety
• conormalVariety(...,Strategy=>...)
• conormalVariety(...,Variable=>...) -- specify a name for a variable
• conormalVariety(Ideal) -- conormal variety
• discriminant -- resultant of the partial derivatives
• discriminant(...,Algorithm=>...)
• discriminant(RingElement) -- resultant of the partial derivatives
• Duality -- whether to use dual Plücker coordinates
• dualize -- apply duality of Grassmannians
• dualize(Ideal) -- apply duality of Grassmannians
• dualize(Matrix) -- apply duality of Grassmannians
• dualize(Ring) -- apply duality of Grassmannians
• dualize(RingElement) -- apply duality of Grassmannians
• dualize(RingMap) -- apply duality of Grassmannians
• dualize(VisibleList) -- apply duality of Grassmannians
• dualVariety -- projective dual variety
• dualVariety(...,AssumeOrdinary=>...) -- whether the expected codimension is 1
• dualVariety(...,SingularLocus=>...) -- pass the singular locus of the variety
• dualVariety(...,Strategy=>...)
• dualVariety(Ideal) -- projective dual variety
• dualVariety(RingMap) -- projective dual variety
• fromPluckerToStiefel -- convert from Plücker coordinates to Stiefel coordinates
• fromPluckerToStiefel(...,AffineChartGrass=>...) -- use an affine chart on the Grassmannian
• fromPluckerToStiefel(...,Variable=>...) -- specify a name for a variable
• fromPluckerToStiefel(Ideal) -- convert from Plücker coordinates to Stiefel coordinates
• fromPluckerToStiefel(Matrix) -- convert from Plücker coordinates to Stiefel coordinates
• fromPluckerToStiefel(RingElement) -- convert from Plücker coordinates to Stiefel coordinates
• genericPolynomials -- generic homogeneous polynomials
• genericPolynomials(List) -- generic homogeneous polynomials
• genericPolynomials(VisibleList,Ring) -- generic homogeneous polynomials
• Grass -- coordinate ring of a Grassmannian
• Grass(...,Variable=>...) -- specify a name for a variable
• Grass(ZZ,ZZ) -- coordinate ring of a Grassmannian
• Grass(ZZ,ZZ,Ring) -- coordinate ring of a Grassmannian
• hurwitzForm -- Hurwitz form of a projective variety
• hurwitzForm(...,AffineChartGrass=>...) -- use an affine chart on the Grassmannian
• hurwitzForm(...,AffineChartProj=>...) -- use an affine chart on the projective space
• hurwitzForm(...,Duality=>...) -- whether to use dual Plücker coordinates
• hurwitzForm(...,SingularLocus=>...) -- pass the singular locus of the variety
• hurwitzForm(...,Variable=>...) -- specify a name for a variable
• hurwitzForm(Ideal) -- Hurwitz form of a projective variety
• isCoisotropic -- whether a hypersurface of a Grassmannian is a tangential Chow form
• isCoisotropic(...,AffineChartGrass=>...) -- use an affine chart on the Grassmannian
• isCoisotropic(RingElement) -- whether a hypersurface of a Grassmannian is a tangential Chow form
• isInCoisotropic -- test membership in a coisotropic hypersurface
• isInCoisotropic(...,Duality=>...) -- whether to use dual Plücker coordinates
• isInCoisotropic(...,SingularLocus=>...) -- pass the singular locus of the variety
• isInCoisotropic(Ideal,Ideal) -- test membership in a coisotropic hypersurface
• macaulayFormula -- Macaulay formula for the resultant
• macaulayFormula(List) -- Macaulay formula for the resultant
• macaulayFormula(Matrix) -- Macaulay formula for the resultant
• plucker -- get the Plücker coordinates of a linear subspace
• plucker(...,AffineChartGrass=>...) -- use an affine chart on the Grassmannian
• plucker(...,Variable=>...) -- specify a name for a variable
• plucker(Ideal) -- get the Plücker coordinates of a linear subspace
• plucker(Ideal,ZZ) -- get the Plücker coordinates of a linear subspace
• resultant -- multipolynomial resultant
• resultant(...,Algorithm=>...)
• resultant(List) -- multipolynomial resultant
• resultant(Matrix) -- multipolynomial resultant
• Resultants -- resultants, discriminants, and Chow forms
• SingularLocus -- pass the singular locus of the variety
• tangentialChowForm -- higher Chow forms of a projective variety
• tangentialChowForm(...,AffineChartGrass=>...) -- use an affine chart on the Grassmannian
• tangentialChowForm(...,AffineChartProj=>...) -- use an affine chart on the projective space
• tangentialChowForm(...,AssumeOrdinary=>...) -- whether the expected codimension is 1
• tangentialChowForm(...,Duality=>...) -- whether to use dual Plücker coordinates
• tangentialChowForm(...,SingularLocus=>...) -- pass the singular locus of the variety
• tangentialChowForm(...,Variable=>...) -- specify a name for a variable
• tangentialChowForm(Ideal,ZZ) -- higher Chow forms of a projective variety
• veronese -- Veronese embedding
• veronese(...,Variable=>...) -- specify a name for a variable
• veronese(ZZ,ZZ) -- Veronese embedding
• veronese(ZZ,ZZ,Ring) -- Veronese embedding