multiReesIdeal(...,DegreeLimit=>...) -- Bound the degrees considered in the saturation step.

Synopsis

• Usage:

  multiReesIdeal(..., DegreeLimit => X)

  mixedMultiplicity(..., DegreeLimit => X)

  mixedVolume(..., DegreeLimit => X)

  secMilnorNumbers(..., DegreeLimit => X)

Description

Further information

• Default value: {}
• Function: multiReesIdeal -- Compute the defining ideal of multi-Rees algebra of ideals
• Option key: DegreeLimit -- an optional argument

See also

• multiReesIdeal -- Compute the defining ideal of multi-Rees algebra of ideals
• mixedMultiplicity -- Compute a given mixed multiplicity of ideals in a polynomial ring.
• mixedVolume -- Compute the mixed volume of a collection of lattice polytopes
• secMilnorNumbers -- Compute the sectional Milnor numbers of a hypersurface with an isolated singularity

Functions with optional argument named DegreeLimit :

• "gb(...,DegreeLimit=>...)" -- see gb -- compute a Gröbner basis
• "intersectInP(...,DegreeLimit=>...)" -- see intersectInP(...,BasisElementLimit=>...) -- Option for intersectInP
• "minimalBetti(...,DegreeLimit=>...)" -- see minimalBetti -- minimal betti numbers of (the mininimal free resolution of) a homogeneous ideal or module
• "mixedMultiplicity(...,DegreeLimit=>...)"
• "mixedVolume(...,DegreeLimit=>...)"
• multiReesIdeal(...,DegreeLimit=>...) -- Bound the degrees considered in the saturation step.
• "secMilnorNumbers(...,DegreeLimit=>...)"
• "pushForward(...,DegreeLimit=>...)" -- see pushForward(RingMap,Module)
• quotient(...,DegreeLimit=>...)
• "saturate(...,DegreeLimit=>...)" -- see quotient(...,DegreeLimit=>...)
• "analyticSpread(...,DegreeLimit=>...)" -- see reesIdeal(...,DegreeLimit=>...) -- Bound the degrees considered in the saturation step. Defaults to infinity
• "distinguished(...,DegreeLimit=>...)" -- see reesIdeal(...,DegreeLimit=>...) -- Bound the degrees considered in the saturation step. Defaults to infinity
• "isLinearType(...,DegreeLimit=>...)" -- see reesIdeal(...,DegreeLimit=>...) -- Bound the degrees considered in the saturation step. Defaults to infinity
• "isReduction(...,DegreeLimit=>...)" -- see reesIdeal(...,DegreeLimit=>...) -- Bound the degrees considered in the saturation step. Defaults to infinity
• "minimalReduction(...,DegreeLimit=>...)" -- see reesIdeal(...,DegreeLimit=>...) -- Bound the degrees considered in the saturation step. Defaults to infinity
• "multiplicity(...,DegreeLimit=>...)" -- see reesIdeal(...,DegreeLimit=>...) -- Bound the degrees considered in the saturation step. Defaults to infinity
• "normalCone(...,DegreeLimit=>...)" -- see reesIdeal(...,DegreeLimit=>...) -- Bound the degrees considered in the saturation step. Defaults to infinity
• "reesAlgebra(...,DegreeLimit=>...)" -- see reesIdeal(...,DegreeLimit=>...) -- Bound the degrees considered in the saturation step. Defaults to infinity
• reesIdeal(...,DegreeLimit=>...) -- Bound the degrees considered in the saturation step. Defaults to infinity
• "specialFiber(...,DegreeLimit=>...)" -- see reesIdeal(...,DegreeLimit=>...) -- Bound the degrees considered in the saturation step. Defaults to infinity
• "specialFiberIdeal(...,DegreeLimit=>...)" -- see reesIdeal(...,DegreeLimit=>...) -- Bound the degrees considered in the saturation step. Defaults to infinity
• resolution(...,DegreeLimit=>...) -- compute only up to this degree
• "syz(...,DegreeLimit=>...)" -- see syz(Matrix) -- compute the syzygy matrix