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Subindex: points  ..  polycyclic


points

   Arithmetic of Points (HYPERELLIPTIC CURVES)
   Creation of Points on Curves (ALGEBRAIC CURVES)
   Cusps and Elliptic Points of Congruence Subgroups (SUBGROUPS OF PSL_2(R))
   Division Points (ELLIPTIC CURVES)
   Enumeration of Points (ELLIPTIC CURVES OVER FINITE FIELDS)
   Heegner Points (ELLIPTIC CURVES)
   Maps and Points (SCHEMES)
   Points (HYPERELLIPTIC CURVES)
   Points of Subgroup Schemes (ELLIPTIC CURVES)
   Points on the Jacobian (HYPERELLIPTIC CURVES)
   Prelude to Points (SCHEMES)
   Random Points (HYPERELLIPTIC CURVES)
   Rational Points (SCHEMES)
   Rational Points and Point Sets (SCHEMES)
   Searching For Points (HYPERELLIPTIC CURVES)
   The Fixed-point Space of a Module (K[G]-MODULES AND GROUP REPRESENTATIONS)

points-at-infinity-on-hypcurves

   CrvHyp_points-at-infinity-on-hypcurves (Example H106E6)

points-blocks

   Design_points-blocks (Example H120E2)

points-cubic-model

   Crv_points-cubic-model (Example H98E31)

points-jac

   Points on the Jacobian (HYPERELLIPTIC CURVES)

points-lines

   Plane_points-lines (Example H122E2)

points_creation_kummer

   Creation of Points (HYPERELLIPTIC CURVES)

points_kummer

   RationalPoints(J, P) : JacHyp, SrfKumPt -> SetIndx
   Points on the Kummer Surface (HYPERELLIPTIC CURVES)

PointsAtInfinity

   PointsAtInfinity(C) : Crv -> SetEnum
   PointsAtInfinity(C) : CrvHyp -> SetIndx
   PointsAtInfinity(C) : CrvHyp -> SetIndx
   PointsAtInfinity(H) : SetPtEll -> @ PtEll @

PointsCubicModel

   PointsCubicModel(C, B : parameters) : Crv, RngIntElt -> SeqEnum

PointSearch

   PointSearch(S,H : parameters) : Sch[FldRat], RngIntElt -> SeqEnum

PointSet

   PointSet(E, m) : CrvEll, Map -> SetPtEll
   E(m) : CrvEll, Map -> SetPtEll
   E(L) : CrvEll, Rng -> SetPtEll
   PointSet(D) : Inc -> IncPtSet
   PointSet(P) : Plane -> PlanePtSet
   X(L) : Sch,Rng -> SetPt

pointset

   Associated Structures (ELLIPTIC CURVES)
   Creation of Point Sets (ELLIPTIC CURVES)
   Operations on Point Sets (ELLIPTIC CURVES)
   Predicates on Point Sets (ELLIPTIC CURVES)

pointset-category

   Associated Structures (ELLIPTIC CURVES)

pointset-creation

   PointSet(E, m) : CrvEll, Map -> SetPtEll
   Creation of Point Sets (ELLIPTIC CURVES)

pointset-predicates

   Predicates on Point Sets (ELLIPTIC CURVES)

PointSets

   CrvEll_PointSets (Example H102E14)

PointsKnown

   PointsKnown(C) : CrvHyp -> BoolElt

PointsOverSplittingField

   PointsOverSplittingField(Z) : Clstr -> SetEnum

PointsQI

   PointsQI(C, B : parameters) : Crv, RngIntElt -> [Pt]

pol

   Generic Polarised Varieties (HILBERT SERIES OF POLARISED VARIETIES)

pol-is

   Newton_pol-is (Example H58E7)

pol-var

   Generic Polarised Varieties (HILBERT SERIES OF POLARISED VARIETIES)

Polar

   ComplexToPolar(c) : FldComElt -> FldReElt, FldReElt
   PolarToComplex(m, a) : FldReElt, FldReElt -> FldComElt

Polarisation

   Polarisation(p) : GRPtS -> SeqEnum
   TerminalPolarisation(p) : GRPtS -> SeqEnum

Polarised

   PolarisedVariety(d,W,n) : RngIntElt,SeqEnum,RngUPolElt-> GRSch

PolarisedVariety

   PolarisedVariety(d,W,n) : RngIntElt,SeqEnum,RngUPolElt-> GRSch

Polarization

   ModularPolarization(A) : ModAbVar -> MapModAbVar

PolarToComplex

   PolarToComplex(m, a) : FldReElt, FldReElt -> FldComElt

Poles

   Poles(F, a) : FldFun, FldFunGElt -> [PlcFunElt]
   Poles(a) : FldFunElt -> SeqEnum[PlcFunElt]
   Poles(a) : FldFunElt -> [ PlcFunElt ]
   Zeros(C, f) : Crv, RngElt -> [PlcCrvElt]
   Zeros(f) : FldFunFracSchElt[Crv] -> SeqEnum[PlcCrvElt]

Pollard

   PollardRho(n) : RngIntElt -> RngIntEltFact, [ RngIntElt ]

PollardRho

   PollardRho(n) : RngIntElt -> RngIntEltFact, [ RngIntElt ]

Poly

   PolyMapKernel(f) : Map -> RngMPol

poly

   Using Newton Polygons to Find Roots of Polynomials over Series Rings (NEWTON POLYGONS)

poly bang

   AlgSym_poly bang (Example H116E4)

Poly-Hensel

   RngLoc_Poly-Hensel (Example H59E19)

poly-ops

   Using Newton Polygons to Find Roots of Polynomials over Series Rings (NEWTON POLYGONS)

poly-ops-ex

   Newton_poly-ops-ex (Example H58E6)

Polycyclic

   PolycyclicGroup< X | R > : List(Identifiers), List(GrpFPRel) -> GrpPC, Hom
   AbelianGroup< X | R > : List(Identifiers), List(GrpAbRel) -> GrpAb, Hom(GrpAb)
   Group< X | R > : List(Identifiers), List(GrpFPRel) -> GrpFP, Hom(Grp)
   PolycyclicGenerators(G) : GrpMat -> [ GrpPCElt ]
   PolycyclicGroup< x_1, ..., x_n | R : parameters > : List(Identifiers), List(GrpFPRel) -> GrpGPC, Map
   PolycyclicGroup< x_1, ..., x_n | R : parameters > : List(Identifiers), List(GrpFPRel) -> GrpPC, Map

polycyclic

   Introduction (POLYCYCLIC GROUPS)
   POLYCYCLIC GROUPS
   Polycyclic Groups and Polycyclic Presentations (POLYCYCLIC GROUPS)


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