HyperplaneArrangements : Index

• Arrangement -- class of hyperplane arrangements
• arrangement -- create a hyperplane arrangement
• Arrangement ^ Flat -- restriction of arrangement to flat
• Arrangement _ Flat -- Subarrangement containing a fixed flat
• arrangement(Arrangement,Ring) -- create a hyperplane arrangement
• arrangement(List) -- create a hyperplane arrangement
• arrangement(List,Ring) -- create a hyperplane arrangement
• arrangement(Matrix) -- create a hyperplane arrangement
• arrangement(Matrix,Ring) -- create a hyperplane arrangement
• arrangement(RingElement) -- create a hyperplane arrangement
• arrangement(String,PolynomialRing) -- look up a built-in hyperplane arrangement
• arrangementLibrary (missing documentation)
• arrangementSum (missing documentation)
• CentralArrangement -- class of central hyperplane arrangements
• changeRing (missing documentation)
• circuits -- list the circuits of an arrangement
• circuits(Arrangement) -- list the circuits of an arrangement
• Classic
• closure -- closure operation in the intersection lattice
• closure(Arrangement,List) -- closure operation in the intersection lattice
• coefficients(Arrangement) -- create a matrix from the coefficients of the equations of an arrangement
• compress(Arrangement) -- extract nonzero equations
• cone(Arrangement,RingElement) -- Cone of an arrangement
• deCone -- produce an affine arrangement from a central one
• deCone(CentralArrangement,RingElement) -- produce an affine arrangement from a central one
• deCone(CentralArrangement,ZZ) -- produce an affine arrangement from a central one
• deletion -- subarrangement given by deleting a hyperplane
• deletion(Arrangement,RingElement) -- subarrangement given by deleting a hyperplane
• der -- Module of logarithmic derivations
• der(...,Strategy=>...)
• der(CentralArrangement) -- Module of logarithmic derivations
• der(CentralArrangement,List) -- Module of logarithmic derivations
• dual(CentralArrangement) -- the Gale dual of A
• EPY -- compute the Eisenbud-Popescu-Yuzvinsky module of an arrangement
• EPY(Arrangement) -- compute the Eisenbud-Popescu-Yuzvinsky module of an arrangement
• EPY(Arrangement,PolynomialRing) -- compute the Eisenbud-Popescu-Yuzvinsky module of an arrangement
• EPY(Ideal) -- compute the Eisenbud-Popescu-Yuzvinsky module of an arrangement
• EPY(Ideal,PolynomialRing) -- compute the Eisenbud-Popescu-Yuzvinsky module of an arrangement
• euler(Arrangement)
• euler(Flat)
• Flat -- intersection of hyperplanes
• flat -- make a flat from a list of indices
• Flat ^ Flat -- meet operation in intersection lattice
• Flat | Flat -- join operation in intersection lattice
• flat(Arrangement,List) -- make a flat from a list of indices
• flats -- list the flats of an arrangement of given rank
• flats(Arrangement) -- list the flats of an arrangement of given rank
• flats(ZZ,Arrangement) -- list the flats of an arrangement of given rank
• graphic -- Make a graphic arrangement
• graphic(List) -- Make a graphic arrangement
• graphic(List,PolynomialRing) -- Make a graphic arrangement
• graphic(List,Ring) -- Make a graphic arrangement
• HypAtInfinity (missing documentation)
• HyperplaneArrangements -- hyperplane arrangements
• isCentral (missing documentation)
• isDecomposable -- test if an arrangement is decomposable
• isDecomposable(CentralArrangement) -- test if an arrangement is decomposable
• isDecomposable(CentralArrangement,Ring) -- test if an arrangement is decomposable
• lct -- Compute the log-canonical threshold of an arrangement
• lct(CentralArrangement) -- Compute the log-canonical threshold of an arrangement
• matrix(Arrangement) -- create a matrix from the equations of an arrangement
• meet -- meet operation in intersection lattice
• meet(Flat,Flat) -- meet operation in intersection lattice
• multIdeal -- compute a multiplier ideal
• multIdeal(QQ,CentralArrangement) -- compute a multiplier ideal
• multIdeal(QQ,CentralArrangement,List) -- compute a multiplier ideal
• multIdeal(ZZ,CentralArrangement) -- compute a multiplier ideal
• multIdeal(ZZ,CentralArrangement,List) -- compute a multiplier ideal
• NaiveAlgorithm (missing documentation)
• orlikSolomon -- defining ideal for the Orlik-Solomon algebra
• orlikSolomon(...,HypAtInfinity=>...) -- hyperplane at infinity
• orlikSolomon(...,Projective=>...) -- specify projective complement
• orlikSolomon(Arrangement) -- defining ideal for the Orlik-Solomon algebra
• orlikSolomon(Arrangement,Ring) -- defining ideal for the Orlik-Solomon algebra
• orlikSolomon(Arrangement,Symbol) -- defining ideal for the Orlik-Solomon algebra
• orlikTerao -- defining ideal for the Orlik-Terao algebra
• orlikTerao(CentralArrangement) -- defining ideal for the Orlik-Terao algebra
• orlikTerao(CentralArrangement,PolynomialRing) -- defining ideal for the Orlik-Terao algebra
• orlikTerao(CentralArrangement,Symbol) -- defining ideal for the Orlik-Terao algebra
• randomArrangement -- generate an arrangement at random
• randomArrangement(ZZ,ZZ,ZZ) -- generate an arrangement at random
• rank(Arrangement) -- compute the rank
• restriction -- restriction of arrangement to flat/hyperplane
• restriction(Arrangement,Flat) -- restriction of arrangement to flat/hyperplane
• restriction(Arrangement,Ideal) -- restriction of arrangement to flat/hyperplane
• restriction(Arrangement,RingElement) -- restriction of arrangement to flat/hyperplane
• restriction(Flat) -- restriction of arrangement to flat/hyperplane
• ring(Arrangement) -- get the associated ring
• subArrangement -- Subarrangement containing a fixed flat
• subArrangement(Arrangement,Flat) -- Subarrangement containing a fixed flat
• subArrangement(Flat) -- Subarrangement containing a fixed flat
• tolist (missing documentation)
• trim(Arrangement) -- minimize the generators
• typeA -- Type A reflection arrangement
• typeA(ZZ) -- Type A reflection arrangement
• typeA(ZZ,PolynomialRing) -- A_n arrangement with specified coordinate ring
• typeA(ZZ,Ring) -- A_n reflection arrangement with specified coefficient ring
• typeB -- Type B reflection arrangement
• typeB(ZZ) -- Type B reflection arrangement
• typeB(ZZ,PolynomialRing) -- Type B reflection arrangement
• typeB(ZZ,Ring) -- Type B reflection arrangement
• typeD -- Type D reflection arrangement
• typeD(ZZ) -- Type D reflection arrangement
• typeD(ZZ,PolynomialRing) -- Type D reflection arrangement
• typeD(ZZ,Ring) -- Type D reflection arrangement
• vee -- join operation in intersection lattice
• vee(Flat,Flat) -- join operation in intersection lattice