- chowClass -- Finds the (fundamental) class of a subscheme in the Chow ring of the ambient space
- chowClass(Ideal) -- Finds the (fundamental) class of a subscheme in the Chow ring of the ambient space
- chowClass(Ideal,QuotientRing) -- Finds the (fundamental) class of a subscheme in the Chow ring of the ambient space
- containedInSingularLocus -- This method tests is an irreducible variety is contained in the singular locus of the reduced scheme of an irreducible scheme
- containedInSingularLocus(Ideal,Ideal) -- This method tests is an irreducible variety is contained in the singular locus of the reduced scheme of an irreducible scheme
- intersectionProduct -- A class in the Chow ring of the ambient space representing the Fulton-MacPherson intersection product of two schemes inside a variety
- intersectionProduct(Ideal,Ideal,Ideal) -- A class in the Chow ring of the ambient space representing the Fulton-MacPherson intersection product of two schemes inside a variety
- intersectionProduct(Ideal,Ideal,Ideal,QuotientRing) -- A class in the Chow ring of the ambient space representing the Fulton-MacPherson intersection product of two schemes inside a variety
- isComponentContained -- This method tests containment of (irreducible) varieties; more generally it tests if a top-dimensional irreducible component of the scheme associated an ideal is contained in the scheme associated to another ideal
- isComponentContained(Ideal,Ideal) -- This method tests containment of (irreducible) varieties; more generally it tests if a top-dimensional irreducible component of the scheme associated an ideal is contained in the scheme associated to another ideal
- isMultiHom -- Tests if an ideal is multi-homogeneous with respect to the grading of its ring
- isMultiHom(Ideal) -- Tests if an ideal is multi-homogeneous with respect to the grading of its ring
- makeChowRing -- Makes the Chow ring of a product of projective spaces.
- makeChowRing(Ring) -- Makes the Chow ring of a product of projective spaces.
- makeChowRing(Ring,Symbol) -- Makes the Chow ring of a product of projective spaces.
- makeProductRing -- Makes the coordinate ring of a product of projective spaces.
- makeProductRing(List) -- Makes the coordinate ring of a product of projective spaces.
- makeProductRing(Ring,List) -- Makes the coordinate ring of a product of projective spaces.
- multiplicity -- This method computes the algebraic (Hilbert-Samuel) multiplicity
- multiplicity(Ideal,Ideal) -- This method computes the algebraic (Hilbert-Samuel) multiplicity
- projectiveDegree -- This method computes a single projective degree of a scheme X inside a scheme Y, where X,Y are subschemes of some product of projective spaces
- projectiveDegree(Ideal,Ideal,RingElement) -- This method computes a single projective degree of a scheme X inside a scheme Y, where X,Y are subschemes of some product of projective spaces
- projectiveDegrees -- This method computes the projective degrees of a scheme X inside a scheme Y, where X,Y are subschemes of some product of projective spaces
- projectiveDegrees(Ideal,Ideal) -- This method computes the projective degrees of a scheme X inside a scheme Y, where X,Y are subschemes of some product of projective spaces
- projectiveDegrees(Ideal,Ideal,QuotientRing) -- This method computes the projective degrees of a scheme X inside a scheme Y, where X,Y are subschemes of some product of projective spaces
- segre -- This method computes the Segre class of a scheme X inside a scheme Y, where X,Y are subschemes of some product of projective spaces
- segre(Ideal,Ideal) -- This method computes the Segre class of a scheme X inside a scheme Y, where X,Y are subschemes of some product of projective spaces
- segre(Ideal,Ideal,QuotientRing) -- This method computes the Segre class of a scheme X inside a scheme Y, where X,Y are subschemes of some product of projective spaces
- SegreClasses -- Tests containment of varieties and computes algebraic multiplicity of subvarieties and Fulton-MacPherson intersection products - via a very general Segre class computation. The package works for subschemes of products of projective spaces.
- segreDimX -- This method computes the dimension X part of the Segre class of a scheme X inside a scheme Y, where X,Y are subschemes of some product of projective spaces
- segreDimX(Ideal,Ideal,QuotientRing) -- This method computes the dimension X part of the Segre class of a scheme X inside a scheme Y, where X,Y are subschemes of some product of projective spaces