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Subindex: division-points  ..  Divisor


division-points

   Division Points (ELLIPTIC CURVES)

DivisionPoints

   DivisionPoints(P, n) : PtEll, RngIntElt -> [ PtEll ]

DivisionPolynomial

   DivisionPolynomial(E, n) : CrvEll, RngIntElt -> RngUPolElt, RngUPolElt, RngUPolElt
   CrvEll_DivisionPolynomial (Example H120E13)

Divisiorial

   IsDivisiorialContraction(X,i) : TorVar,RngIntElt -> BoolElt

Divisor

   Divisor(p) : PlcCrvElt -> DivCrvElt
   Div ! p : DivCrv, PlcCrvElt -> DivCrvElt
   Div ! a : DivFun, RngElt -> DivFunElt
   Div ! I : DivFun, RngFunOrdIdl -> DivFunElt
   CanonicalDivisor(C) : Crv -> DivCrvElt
   CanonicalDivisor(F) : FldFunG -> DivFunElt
   CanonicalDivisor(X) : Sch -> DivSchElt
   CanonicalDivisor(X) : TorVar -> DivTorElt
   ComplementaryDivisor(D,p) : DivCrvElt,Pt -> DivCrvElt
   ComplementaryDivisor(D) : DivFunElt -> DivFunElt
   Denominator(D) : DivFunElt -> DivFunElt
   DifferentDivisor(F) : FldFunG -> DivFunElt
   DiscriminantDivisor(m, U) : DivFunElt, GrpAb -> DivFunElt
   DiscriminantDivisor(A) : FldFunAb -> DivFunElt
   Divisor(C) : Code -> DivCrvElt
   Divisor(C, I) : Crv, RngMPol -> DivCrvElt
   Divisor(C, X) : Crv, Sch -> DivCrvElt
   Divisor(C, p, q) : Crv,Pt,Pt -> DivCrvElt
   Divisor(a) : DiffCrvElt -> DivCrvElt
   Divisor(d) : DiffCrvElt -> DivCrvElt
   Divisor(d) : DiffFunElt -> DivFunElt
   Divisor(D, S) : DivCrv, SeqEnum -> DivCrvElt
   Divisor(G,i) : DivTor,RngIntElt -> DivTorElt
   Divisor(G,S) : DivTor,[RngIntElt] -> DivTorElt
   Divisor(a) : FldFunGElt -> DivFunElt
   Divisor(x) : FldNumElt -> DivNumElt
   Divisor(x) : FldNumElt -> DivNumElt
   Divisor(P) : PlcFunElt -> DivFunElt
   Divisor(pl) : PlcNumElt -> DivNumElt
   Divisor(pl) : PlcNumElt -> DivNumElt
   Divisor(I) : RngFunOrdIdl -> DivFunElt
   Divisor(I, J) : RngFunOrdIdl, RngFunOrdIdl -> DivFunElt
   Divisor(I, J) : RngFunOrdIdl, RngFunOrdIdl -> DivFunElt
   Divisor(I) : RngOrdFracIdl -> DivNumElt
   Divisor(I) : RngOrdFracIdl -> DivNumElt
   Divisor(X,f) : Sch, FldFunFracSchElt -> DivSchElt
   Divisor(X,Q) : Sch, SeqEnum -> DivSchElt
   Divisor(X,i) : TorVar,RngIntElt -> DivTorElt
   Divisor(X,f) : TorVar,RngMPolElt -> DivTorElt
   Divisor(X,m) : TorVar,TorLatElt -> DivTorElt
   Divisor(X,S) : TorVar,[RngIntElt] -> DivTorElt
   DivisorClassGroup(C) : RngCox -> TorLat
   DivisorClassLattice(C) : RngCox -> TorLat
   DivisorClassLattice(X) : TorVar -> TorLat
   DivisorGroup(C) : Crv -> DivCrv
   DivisorGroup(D) : DivCrvElt -> DivCrv
   DivisorGroup(F) : FldFun -> DivFun
   DivisorGroup(F) : FldFun -> DivFun
   DivisorGroup(F) : FldFunG -> DivFun
   DivisorGroup(X) : Sch -> DivSch
   DivisorGroup(X) : TorVar -> DivTor
   DivisorIdeal(I) : AlgFP -> AlgFr
   DivisorIdeal(I) : RngMPolRes -> RngMPol
   DivisorMap(D) : DivCrvElt -> MapSch
   DivisorMap(S) : ShfCoh -> Map,Sch
   DivisorOfDegreeOne(C) : Crv[FldFin] -> DivCrvElt
   DivisorOfDegreeOne(F) : FldFunG -> DivFunElt
   DivisorSigma(i, n) : RngIntElt, RngIntElt -> RngIntElt
   DivisorToSheaf(X, I) : Sch, RngMPol -> ShfCoh
   ExtendedGreatestCommonDivisor(m, n) : RngIntElt, RngIntElt -> RngIntElt, RngIntElt, RngIntElt
   ExtendedGreatestCommonDivisor(f, g) : RngUPolElt, RngUPolElt -> RngUPolElt, RngUPolElt, RngUPolElt
   ExtendedGreatestCommonDivisor(v, w) : RngValElt, RngValElt -> RngValElt, RngValElt, RngValElt
   ExtendedGreatestCommonDivisor(s) : [RngIntElt] -> RngIntElt, [RngIntElt]
   ExtendedGreatestCommonLeftDivisor(A, B) : RngDiffOpElt, RngDiffOpElt -> RngDiffOpElt, RngDiffOpElt, RngDiffOpElt
   ExtendedGreatestCommonRightDivisor(A, B) : RngDiffOpElt, RngDiffOpElt -> RngDiffOpElt, RngDiffOpElt, RngDiffOpElt
   ExtremalRayContractionDivisor(X,i) : TorVar,RngIntElt -> DivTorElt
   FiniteSplit(D) : DivFunElt -> DivFunElt, DivFunElt
   FunctionFieldPlace(p) : PlcCrvElt -> PlcFunElt
   GCD(D1, D2) : DivCrvElt, DivCrvElt -> DivCrvElt
   GCD(D1, D2) : DivFunElt, DivFunElt -> DivFunElt
   GCD(I, J) : RngOrdFracIdl, RngOrdFracIdl -> RngOrdFracIdl
   Gcd(a, b) : RngQuadElt, RngQuadElt -> RngQuadElt
   GreatestCommonDivisor(a, b) : RngIntResElt, RngIntResElt -> RngIntResElt
   GreatestCommonDivisor(f, g) : RngMPolElt, RngMPolElt -> RngMPolElt
   GreatestCommonDivisor(f, g) : RngUPolElt, RngUPolElt -> RngUPolElt
   GreatestCommonDivisor(f, g) : RngUPolElt, RngUPolElt -> RngUPolElt
   GreatestCommonDivisor(v, w) : RngValElt, RngValElt -> RngValElt
   GreatestCommonDivisor(s) : [RngIntElt] -> RngIntElt
   GreatestCommonLeftDivisor(A, B) : RngDiffOpElt, RngDiffOpElt -> RngDiffOpElt
   GreatestCommonRightDivisor(A, B) : RngDiffOpElt, RngDiffOpElt -> RngDiffOpElt
   HyperplaneSectionDivisor(X) : Sch -> DivSchElt
   IsHypersurfaceDivisor(D) : DivCrvElt -> BoolElt, RngElt, RngIntElt
   IsZeroDivisor(a) : AlgGenElt -> BoolElt
   IsZeroDivisor(D) : DivSchElt -> BoolElt
   IsZeroDivisor(x) : RngElt -> BoolElt
   LeftGCD(u, v: parameters) : GrpBrdElt, GrpBrdElt -> GrpBrdElt
   LeftGCD(S: parameters) : Setq -> GrpBrdElt
   MultiplyDivisor(n, D , D0) : RngIntElt, DivCrvElt, DivCrvElt -> DivCrvElt
   NonSpecialDivisor(m): DivFunElt -> DivFunElt, RngIntElt
   Numerator(D) : DivFunElt -> DivFunElt
   Places(K) : FldNum -> PlcNum
   Places(K) : FldNum -> PlcNum
   PrincipalDivisor(C, f) : Crv, RngElt -> DivCrvElt
   PrincipalDivisorMap(F) : FldFunG -> Map
   RamificationDivisor(C) : Crv -> DivCrvElt
   RamificationDivisor(D) : DivCrvElt -> DivCrvElt
   RamificationDivisor(D) : DivFunElt -> DivFunElt
   RamificationDivisor(F) : FldFunG -> DivFunElt
   RamificationDivisor(m) : MapSch -> DivCrvElt
   RightGCD(u, v: parameters) : GrpBrdElt, GrpBrdElt -> GrpBrdElt
   RightGCD(S: parameters) : Setq -> GrpBrdElt
   RoundDownDivisor(D) : DivSchElt -> DivSchElt
   RoundUpDivisor(D) : DivSchElt -> DivSchElt
   SPrincipalDivisorMap(S) : SetEnum[PlcFunElt] -> Map
   SheafToDivisor(S) : ShfCoh -> DivSchElt
   ZeroDivisor(X) : Sch -> DivSchElt
   ZeroDivisor(X) : TorVar -> DivTorElt

[____] [____] [_____] [____] [__] [Index] [Root]

Version: V2.19 of Wed Apr 24 15:09:57 EST 2013