Normaliz : Table of Contents

• Normaliz -- an interface to use Normaliz in Macaulay 2
• allComputations
• createMonomialSubalgebra -- creates a monomial subalgebra
• diagInvariants -- ring of invariants of a diagonalizable group action
• ehrhartRing -- Ehrhart ring
• ehrhartRing(List) -- Ehrhart ring
• ehrhartRing(List,allComputations=>...) -- Ehrhart ring
• ehrhartRing(List,RingElement) -- Ehrhart ring
• ehrhartRing(List,RingElement,allComputations=>...) -- Ehrhart ring
• finiteDiagInvariants -- ring of invariants of a finite group action
• generators(MonomialSubalgebra) -- generators of a monomial subalgebra
• getNumInvs -- returns the numerical invariants computed
• grading
• intclMonIdeal -- normalization of Rees algebra
• intclMonIdeal(Ideal) -- normalization of Rees algebra
• intclMonIdeal(Ideal,allComputations=>...) -- normalization of Rees algebra
• intclMonIdeal(Ideal,RingElement) -- normalization of Rees algebra
• intclMonIdeal(Ideal,RingElement,allComputations=>...) -- normalization of Rees algebra
• intclToricRing -- integral closure of a toric ring
• intclToricRing(List) -- integral closure of a toric ring
• intclToricRing(List,allComputations=>...) -- integral closure of a toric ring
• intclToricRing(MonomialSubalgebra) -- integral closure of a toric ring
• intclToricRing(MonomialSubalgebra,allComputations=>...) -- integral closure of a toric ring
• intersectionValRingIdeals -- intersection of valuation ideals
• intersectionValRings -- intersection of ring of valuations
• Keeping results of the computation by Normaliz
• MonomialSubalgebra -- class of monomial subalgebras
• nmzDataPath -- global variable, the path where Normaliz stores its files
• nmzFilename -- global variable holding the filename
• nmzNumberThreads -- global variable holding the number of threads
• nmzVersion -- global variable holding the Normaliz version
• normaliz -- calls Normaliz
• normaliz(List) -- calls Normaliz with several input matrices
• normaliz(Matrix,String) -- calls Normaliz
• normalToricRing -- normalization of a toric ring
• normalToricRing(Ideal,Thing) -- normalization of a toric ring given by a binomial ideal
• normalToricRing(List) -- normalization of a toric ring
• normalToricRing(List,allComputations=>...) -- normalization of a toric ring
• normalToricRing(MonomialSubalgebra) -- normalization of a toric ring
• normalToricRing(MonomialSubalgebra,allComputations=>...) -- normalization of a toric ring
• numgens(MonomialSubalgebra) -- number of generators of a monomial subalgebra
• output files written by Normaliz
• RationalCone -- class of rational cones
• readMultipleNmzData -- reads an output file of Normaliz containing several matrices
• readNmzData -- reads an output file of Normaliz containing one matrix
• ring(MonomialSubalgebra) -- surrounding ring of a monomial subalgebra
• rmNmzFiles -- removes the files created by Normaliz
• setNmzOption -- sets a command line option for Normaliz
• showNmzOptions -- prints the enabled options
• The generators of the integral closure of the Rees algebra of a monomial ideal.
• The Hilbert basis and the support hyperplanes of a rational cone.
• The lattice points, Ehrhart series and the support hyperplanes of an integral polytope.
• torusInvariants -- ring of invariants of torus action
• vars(MonomialSubalgebra) -- row matrix of the generators of a monomial subalgebra
• writeNmzData -- creates an input file for Normaliz
• writeNmzData(List) -- creates an input file for Normaliz with several matrices
• writeNmzData(Matrix,String) -- creates an input file for Normaliz with one matrix