CentralArrangement -- the class of all central hyperplane arrangements

Functions and methods returning a central hyperplane arrangement:

• cone(Arrangement,RingElement) -- creates an associated central hyperplane arrangement
• cone(Arrangement,Symbol) -- see cone(Arrangement,RingElement) -- creates an associated central hyperplane arrangement
• dual(CentralArrangement) -- see dual(CentralArrangement,Ring) -- the Gale dual of an arrangement
• dual(CentralArrangement,Ring) -- the Gale dual of an arrangement
• makeEssential(CentralArrangement) -- make an essential arrangement out of an arbitrary one

Methods that use a central hyperplane arrangement:

• circuits(CentralArrangement) -- list the circuits of an arrangement
• deCone(CentralArrangement,RingElement) -- produce an affine arrangement from a central one
• deCone(CentralArrangement,ZZ) -- see deCone(CentralArrangement,RingElement) -- produce an affine arrangement from a central one
• der(CentralArrangement) -- see der(CentralArrangement,List) -- compute the module of logarithmic derivations
• der(CentralArrangement,List) -- compute the module of logarithmic derivations
• euler(CentralArrangement) -- compute the Euler characteristic of the projective complement
• eulerRestriction(CentralArrangement,List,ZZ) -- form the Euler restriction of a central multiarrangement
• flats(ZZ,CentralArrangement) -- see flats(ZZ,Arrangement) -- list the flats of an arrangement of a given rank
• isDecomposable(CentralArrangement) -- see isDecomposable(CentralArrangement,Ring) -- whether a hyperplane arrangement decomposable in the sense of Papadima-Suciu
• isDecomposable(CentralArrangement,Ring) -- whether a hyperplane arrangement decomposable in the sense of Papadima-Suciu
• lct(CentralArrangement) -- see logCanonicalThreshold(CentralArrangement) -- compute the log-canonical threshold of an arrangement
• logCanonicalThreshold(CentralArrangement) -- compute the log-canonical threshold of an arrangement
• matroid(CentralArrangement) -- get the matroid of a central arrangement
• multIdeal(QQ,CentralArrangement) -- see multiplierIdeal(QQ,CentralArrangement,List) -- compute a multiplier ideal
• multIdeal(QQ,CentralArrangement,List) -- see multiplierIdeal(QQ,CentralArrangement,List) -- compute a multiplier ideal
• multIdeal(ZZ,CentralArrangement) -- see multiplierIdeal(QQ,CentralArrangement,List) -- compute a multiplier ideal
• multIdeal(ZZ,CentralArrangement,List) -- see multiplierIdeal(QQ,CentralArrangement,List) -- compute a multiplier ideal
• multiplierIdeal(QQ,CentralArrangement) -- see multiplierIdeal(QQ,CentralArrangement,List) -- compute a multiplier ideal
• multiplierIdeal(QQ,CentralArrangement,List) -- compute a multiplier ideal
• multiplierIdeal(ZZ,CentralArrangement) -- see multiplierIdeal(QQ,CentralArrangement,List) -- compute a multiplier ideal
• multiplierIdeal(ZZ,CentralArrangement,List) -- see multiplierIdeal(QQ,CentralArrangement,List) -- compute a multiplier ideal
• orlikSolomon(CentralArrangement,PolynomialRing) -- see orlikSolomon(Arrangement,PolynomialRing) -- compute the defining ideal for the Orlik-Solomon algebra
• orlikTerao(CentralArrangement) -- see orlikTerao(CentralArrangement,PolynomialRing) -- compute the defining ideal for the Orlik-Terao algebra
• orlikTerao(CentralArrangement,PolynomialRing) -- compute the defining ideal for the Orlik-Terao algebra
• orlikTerao(CentralArrangement,Symbol) -- see orlikTerao(CentralArrangement,PolynomialRing) -- compute the defining ideal for the Orlik-Terao algebra
• poincare(CentralArrangement) -- see poincare(Arrangement) -- compute the Poincaré polynomial of an arrangement
• rank(CentralArrangement) -- compute the rank of a central hyperplane arrangement

For the programmer

The object CentralArrangement is a type, with ancestor classes Arrangement < HashTable < Thing.

The source of this document is in HyperplaneArrangements.m2:1099:0.