projectiveVariety(...,MinimalGenerators=>...) -- whether to trim the ideal (intended for internal use only)

Synopsis

• Usage:

  projectiveVariety(I,MinimalGenerators=>false)

Description

Use this option only in the case you know that the ideal I is already trimmed.

Further information

• Default value: true
• Function: projectiveVariety -- the closed multi-projective subvariety defined by a multi-homogeneous ideal
• Option key: MinimalGenerators -- whether to compute minimal generators and return a trimmed set of generators

See also

• projectiveVariety -- the closed multi-projective subvariety defined by a multi-homogeneous ideal
• projectiveVariety(...,Saturate=>...) -- whether to compute the multi-saturation of the ideal (intended for internal use only)

Functions with optional argument named MinimalGenerators:

• adjoint(...,MinimalGenerators=>...) (missing documentation)
• associatedPrimes(...,MinimalGenerators=>...) -- see associatedPrimes -- find associated primes
• canonicalBundle(...,MinimalGenerators=>...) (missing documentation)
• compose(Module,Module,Module,MinimalGenerators=>...) -- see compose -- composition as a pairing on Hom-modules
• cotangentSheaf(...,MinimalGenerators=>...) -- see cotangentSheaf(ProjectiveVariety) -- cotangent sheaf of a projective variety
• dual(ChainComplex,MinimalGenerators=>...) (missing documentation)
• dual(Matrix,MinimalGenerators=>...) (missing documentation)
• dual(SheafMap,MinimalGenerators=>...) (missing documentation)
• End(...,MinimalGenerators=>...) -- see End -- module of endomorphisms
• Hom(...,MinimalGenerators=>...) -- see Hom -- module of homomorphisms
• homomorphism'(...,MinimalGenerators=>...) -- see homomorphism' -- get the element of Hom from a homomorphism
• intersect(Ideal,Ideal,MinimalGenerators=>...) -- see intersect(Ideal,Ideal) -- compute an intersection of a sequence of ideals or modules
• intersect(Module,Module,MinimalGenerators=>...) -- see intersect(Ideal,Ideal) -- compute an intersection of a sequence of ideals or modules
• intersectInP(...,MinimalGenerators=>...) -- see intersectInP(...,BasisElementLimit=>...) -- Option for intersectInP
• decompose(Ideal,MinimalGenerators=>...) -- see minimalPrimes -- minimal primes of an ideal
• minimalPrimes(...,MinimalGenerators=>...) -- see minimalPrimes -- minimal primes of an ideal
• primaryDecomposition(...,MinimalGenerators=>...) -- see primaryDecomposition -- irredundant primary decomposition of an ideal
• projectiveVariety(...,MinimalGenerators=>...) -- whether to trim the ideal (intended for internal use only)
• quotient(...,MinimalGenerators=>...) -- see quotient(Module,Module) -- ideal or submodule quotient
• analyticSpread(...,MinimalGenerators=>...) -- see reesIdeal(...,MinimalGenerators=>...) -- Whether the saturation step returns minimal generators
• associatedGradedRing(...,MinimalGenerators=>...) -- see reesIdeal(...,MinimalGenerators=>...) -- Whether the saturation step returns minimal generators
• distinguished(...,MinimalGenerators=>...) -- see reesIdeal(...,MinimalGenerators=>...) -- Whether the saturation step returns minimal generators
• isLinearType(...,MinimalGenerators=>...) -- see reesIdeal(...,MinimalGenerators=>...) -- Whether the saturation step returns minimal generators
• isReduction(...,MinimalGenerators=>...) -- see reesIdeal(...,MinimalGenerators=>...) -- Whether the saturation step returns minimal generators
• minimalReduction(...,MinimalGenerators=>...) -- see reesIdeal(...,MinimalGenerators=>...) -- Whether the saturation step returns minimal generators
• multiplicity(...,MinimalGenerators=>...) -- see reesIdeal(...,MinimalGenerators=>...) -- Whether the saturation step returns minimal generators
• normalCone(Ideal,MinimalGenerators=>...) -- see reesIdeal(...,MinimalGenerators=>...) -- Whether the saturation step returns minimal generators
• normalCone(Ideal,RingElement,MinimalGenerators=>...) -- see reesIdeal(...,MinimalGenerators=>...) -- Whether the saturation step returns minimal generators
• reesAlgebra(...,MinimalGenerators=>...) -- see reesIdeal(...,MinimalGenerators=>...) -- Whether the saturation step returns minimal generators
• reesIdeal(...,MinimalGenerators=>...) -- Whether the saturation step returns minimal generators
• specialFiber(...,MinimalGenerators=>...) -- see reesIdeal(...,MinimalGenerators=>...) -- Whether the saturation step returns minimal generators
• specialFiberIdeal(...,MinimalGenerators=>...) -- see reesIdeal(...,MinimalGenerators=>...) -- Whether the saturation step returns minimal generators
• saturate(...,MinimalGenerators=>...) -- see saturate -- saturation of ideal or submodule
• sheafExt(ZZ,CoherentSheaf,CoherentSheaf,MinimalGenerators=>...) (missing documentation)
• sheafExt(ZZ,CoherentSheaf,SheafOfRings,MinimalGenerators=>...) (missing documentation)
• sheafExt(ZZ,SheafOfRings,CoherentSheaf,MinimalGenerators=>...) (missing documentation)
• sheafExt(ZZ,SheafOfRings,SheafOfRings,MinimalGenerators=>...) (missing documentation)
• sheafHom(...,MinimalGenerators=>...) (missing documentation)
• tangentSheaf(...,MinimalGenerators=>...) -- see tangentSheaf(ProjectiveVariety) -- tangent sheaf of a projective variety
• truncate(InfiniteNumber,Thing,MinimalGenerators=>...) (missing documentation)
• truncate(List,Ideal,MinimalGenerators=>...) (missing documentation)
• truncate(List,Matrix,MinimalGenerators=>...) -- see truncate(List,Matrix) -- truncation of a map of free modules
• truncate(List,Module,MinimalGenerators=>...) -- see truncate(List,Module) -- truncation of the graded ring, ideal or module at a specified degree or set of degrees
• truncate(List,Ring,MinimalGenerators=>...) (missing documentation)
• truncate(ZZ,Ideal,MinimalGenerators=>...) (missing documentation)
• truncate(ZZ,Matrix,MinimalGenerators=>...) (missing documentation)
• truncate(ZZ,Module,MinimalGenerators=>...) (missing documentation)
• truncate(ZZ,Ring,MinimalGenerators=>...) (missing documentation)