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

Subindex: pipes-operations  ..  Places


pipes-operations

   Operations on Pipes (INPUT AND OUTPUT)

PIR

   IsPrincipalIdealRing(R) : Rng -> BoolElt
   IsPIR(R) : Rng -> BoolElt

pIsogeny

   pIsogenyDescent(C,phi) : Crv, MapSch -> SeqEnum, List
   pIsogenyDescent(E,P) : CrvEll, PtEll -> RngIntElt, RngIntElt, SeqEnum, CrvEll

pIsogenyDescent

   p-Isogeny Descent (ELLIPTIC CURVES OVER Q AND NUMBER FIELDS)
   pIsogenyDescent(C,phi) : Crv, MapSch -> SeqEnum, List
   pIsogenyDescent(E,P) : CrvEll, PtEll -> RngIntElt, RngIntElt, SeqEnum, CrvEll

pIsogenyDescent2

   CrvEllQNF_pIsogenyDescent2 (Example H122E18)

pIsogenyDescent3

   CrvEllQNF_pIsogenyDescent3 (Example H122E19)

pIsogenyDesent

   CrvEllQNF_pIsogenyDesent (Example H122E17)

pIsogney

   pIsogneyDescent(E,p) : CrvEll, RngIntElt -> RngIntElt, RngIntElt, SeqEnum, CrvEll
   pIsogenyDescent(E,P) : CrvEll, PtEll -> RngIntElt, RngIntElt, SeqEnum, CrvEll

pIsogneyDescent

   pIsogneyDescent(E,p) : CrvEll, RngIntElt -> RngIntElt, RngIntElt, SeqEnum, CrvEll
   pIsogenyDescent(E,P) : CrvEll, PtEll -> RngIntElt, RngIntElt, SeqEnum, CrvEll

Place

   Place(I) : RngFunOrdIdl -> PlcFunElt
   S ! I : PlcFun, RngFunOrdIdl -> PlcFunElt
   FunctionFieldPlace(p) : PlcCrvElt -> PlcFunElt
   HasPlace(C, m) : Crv[FldFin], RngIntElt -> BoolElt,PlcCrvElt
   HasPlace(F, m) : FldFun, RngIntElt -> PlcFunElt
   HasPlace(F, m) : FldFunG, RngIntElt -> BoolElt, PlcFunElt
   HasRandomPlace(F, m) : FldFun, RngIntElt -> BoolElt, PlcFunElt
   HasRandomPlace(F, m) : FldFunG, RngIntElt -> BoolElt, PlcFunElt
   IsIrregularSingularPlace(L, p) : RngDiffOpElt, PlcFunElt -> BoolElt
   IsRegularPlace(L, p) : RngDiffOpElt, PlcFunElt -> BoolElt
   IsRegularSingularPlace(L, p) : RngDiffOpElt, PlcFunElt -> BoolElt
   IsWeierstrassPlace(D, P) : DivFunElt, PlcFunElt -> BoolElt
   IsWeierstrassPlace(P) : PlcCrvElt -> BoolElt
   IsWeierstrassPlace(P) : PlcFunElt -> BoolElt
   Place(C, I) : Crv, RngMPol -> PlcCrvElt
   Place(p) : Pt -> PlcCrvElt
   Place(I) : RngFunOrdIdl -> PlcFunElt
   Place(I) : RngOrdIdl -> PlcNumElt
   Place(I) : RngOrdIdl -> PlcNumElt
   Place(Q) : [FldFunFracSchElt] -> PlcCrvElt
   PlaceEnumCopy(R) : PlcEnum -> PlcEnum
   PlaceEnumCurrent(R) : PlcEnum -> PlcFunElt
   PlaceEnumInit(K) : FldFun -> PlcEnum
   PlaceEnumInit(K, Pos) : FldFun, [RngIntElt]) -> PlcEnum
   PlaceEnumInit(P) : PlcFunElt -> PlcEnum
   PlaceEnumNext(R) : PlcEnum -> PlcFunElt
   PlaceEnumPosition(R) : PlcEnum -> [RngIntElt]
   RandomPlace(F, m) : FldFun, RngIntElt -> PlcFunElt
   RandomPlace(F, m) : FldFunG, RngIntElt -> PlcFunElt
   SplitRealPlace(A) : AlgQuat -> PlcNum

place

   Completion at Places (ALGEBRAIC FUNCTION FIELDS)
   Enumeration of Places (CLASS FIELD THEORY FOR GLOBAL FUNCTION FIELDS)

place-creation

   FldFunG_place-creation (Example H42E33)

place-enumeration

   Enumeration of Places (CLASS FIELD THEORY FOR GLOBAL FUNCTION FIELDS)

place-equations

   Crv_place-equations (Example H114E26)

place-ops-completion

   Completion at Places (ALGEBRAIC FUNCTION FIELDS)

PlaceEnumCopy

   PlaceEnumCopy(R) : PlcEnum -> PlcEnum

PlaceEnumCurrent

   PlaceEnumCurrent(R) : PlcEnum -> PlcFunElt

PlaceEnumInit

   PlaceEnumInit(K) : FldFun -> PlcEnum
   PlaceEnumInit(K, Pos) : FldFun, [RngIntElt]) -> PlcEnum
   PlaceEnumInit(P) : PlcFunElt -> PlcEnum

PlaceEnumNext

   PlaceEnumNext(R) : PlcEnum -> PlcFunElt

PlaceEnumPosition

   PlaceEnumPosition(R) : PlcEnum -> [RngIntElt]

Places

   Places (ALGEBRAIC FUNCTION FIELDS)
   BadPlaces(E) : CrvEll -> SeqEnum
   BadPlaces(E, L) : CrvEll -> SeqEnum
   BadPlaces(E) : CrvEll -> [ PlcFunElt ]
   CuspPlaces(CN,N,d) : Crv, RngIntElt, RngIntElt -> SeqEnum[PlcCrvElt]
   InfinitePlaces(K) : FldAlg -> SeqEnum
   InfinitePlaces(F) : FldFun -> [PlcFunElt]
   InfinitePlaces(K) : FldNum -> SeqEnum
   NumberOfPlacesOfDegreeOne(m, U) : DivFunElt, GrpAb -> RngIntElt
   NumberOfPlacesOfDegreeOne(A) : FldFunAb -> RngIntElt
   NumberOfPlacesOfDegreeOneECFBound(C) : Crv -> RngIntElt
   NumberOfPlacesOfDegreeOneECFBound(F) : FldFunG -> RngIntElt
   NumberOfPlacesOfDegreeOneOverExactConstantField(C) : Crv[FldFin] -> RngIntElt
   NumberOfPlacesOfDegreeOneOverExactConstantField(C, m) : Crv[FldFin], RngIntElt -> RngIntElt
   NumberOfPlacesOfDegreeOneOverExactConstantField(F, m) : FldFun, RngIntElt -> RngIntElt
   NumberOfPlacesOfDegreeOneOverExactConstantField(F) : FldFunG -> RngIntElt
   NumberOfPlacesOfDegreeOneOverExactConstantField(F, m) : FldFunG, RngIntElt -> RngIntElt
   NumberOfPlacesOfDegreeOneOverExactConstantFieldBound(F, m) : FldFun, RngIntElt -> RngIntElt
   NumberOfPlacesOfDegreeOverExactConstantField(C, m) : Crv[FldFin], RngIntElt -> RngIntElt
   NumberOfPlacesOfDegreeOverExactConstantField(F, m) : FldFun, RngIntElt -> RngIntElt
   NumberOfPlacesOfDegreeOverExactConstantField(F, m) : FldFunG, RngIntElt -> RngIntElt
   Places(C) : Crv -> PlcCrv
   Places(C, m) : Crv[FldFin], RngIntElt -> SeqEnum
   Places(F) : FldFun -> PlcFun
   Places(F) : FldFun -> PlcFun
   Places(F, m) : FldFun, RngIntElt -> SeqEnum[PlcFunElt]
   Places(F) : FldFunG -> PlcFun
   Places(F, m) : FldFunG, RngIntElt -> SeqEnum[PlcFunElt]
   Places(K) : FldNum -> PlcNum
   Places(K) : FldNum -> PlcNum
   Places(p) : Pt -> SeqEnum
   RamifiedPlaces(A) : AlgQuat -> SeqEnum, SeqEnum
   RealPlaces(K) : FldRat -> [PlcNumElt]
   RealPlaces(K) : FldRat -> [PlcNumElt]
   SetsOfSingularPlaces(L) : RngDiffOpElt -> SetEnum, SetEnum
   WeierstrassPlaces(C) : Crv -> [PlcCrvElt]
   WeierstrassPlaces(D) : DivCrvElt -> SeqEnum
   WeierstrassPlaces(D) : DivFunElt -> [PlcFunElt]
   WeierstrassPlaces(F) : FldFunG -> [PlcFunElt]
   WeierstrassPlaces(F) : FldFunG -> [PlcFunElt]

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

Version: V2.19 of Mon Dec 17 14:40:36 EST 2012