MixedMultiplicity : Index
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homIdealPolytope -- Compute the homogeneous ideal corresponding to the vertices of a lattice polytope in $\mathbb{R}^n$.
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homIdealPolytope(...,CoefficientRing=>...) -- Choose a coefficient ring of the (output) ideal
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homIdealPolytope(...,VariableBaseName=>...) -- Choose a base name for variables in the created ring
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MixedMultiplicity -- Calculate mixed multiplicities, mixed volume and sectional Milnor numbers
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mixedMultiplicity -- Compute a given mixed multiplicity of ideals in a polynomial ring.
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mixedMultiplicity(...,BasisElementLimit=>...) -- Bound the number of Groebner basis elements to compute in the saturation step
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mixedMultiplicity(...,DegreeLimit=>...) -- Bound the degrees considered in the saturation step.
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mixedMultiplicity(...,MinimalGenerators=>...) -- Whether the saturation step returns minimal generators
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mixedMultiplicity(...,PairLimit=>...) -- Bound the number of s-pairs considered in the saturation step
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mixedMultiplicity(...,Strategy=>...) -- Choose a strategy for the saturation step
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mixedVolume -- Compute the mixed volume of a collection of lattice polytopes
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mixedVolume(...,BasisElementLimit=>...) -- Bound the number of Groebner basis elements to compute in the saturation step
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mixedVolume(...,CoefficientRing=>...) -- Choose a coefficient ring of the (output) ideal
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mixedVolume(...,DegreeLimit=>...) -- Bound the degrees considered in the saturation step.
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mixedVolume(...,MinimalGenerators=>...) -- Whether the saturation step returns minimal generators
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mixedVolume(...,PairLimit=>...) -- Bound the number of s-pairs considered in the saturation step
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mixedVolume(...,Strategy=>...) -- Choose a strategy for the saturation step
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mixedVolume(...,VariableBaseName=>...) -- Choose a base name for variables in the created ring
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multiReesIdeal -- Compute the defining ideal of multi-Rees algebra of ideals
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multiReesIdeal(...,BasisElementLimit=>...) -- Bound the number of Groebner basis elements to compute in the saturation step
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multiReesIdeal(...,DegreeLimit=>...) -- Bound the degrees considered in the saturation step.
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multiReesIdeal(...,MinimalGenerators=>...) -- Whether the saturation step returns minimal generators
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multiReesIdeal(...,PairLimit=>...) -- Bound the number of s-pairs considered in the saturation step
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multiReesIdeal(...,Strategy=>...) -- Choose a strategy for the saturation step
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multiReesIdeal(...,VariableBaseName=>...) -- Choose a base name for variables in the created ring
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secMilnorNumbers -- Compute the sectional Milnor numbers of a hypersurface with an isolated singularity
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secMilnorNumbers(...,BasisElementLimit=>...) -- Bound the number of Groebner basis elements to compute in the saturation step
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secMilnorNumbers(...,DegreeLimit=>...) -- Bound the degrees considered in the saturation step.
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secMilnorNumbers(...,MinimalGenerators=>...) -- Whether the saturation step returns minimal generators
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secMilnorNumbers(...,PairLimit=>...) -- Bound the number of s-pairs considered in the saturation step
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secMilnorNumbers(...,Strategy=>...) -- Choose a strategy for the saturation step