Documentation

points
- Arithmetic of Points (HYPERELLIPTIC CURVES)
- CM Points (ARITHMETIC FUCHSIAN GROUPS AND SHIMURA CURVES)
- Creation of Points on Curves (ALGEBRAIC CURVES)
- Cusps and Elliptic Points of Congruence Subgroups (CONGRUENCE SUBGROUPS OF PSL₂(R))
- Division Points (ELLIPTIC CURVES)
- Enumeration of Points (ELLIPTIC CURVES OVER FINITE FIELDS)
- Finding Rational Points (ALGEBRAIC CURVES)
- Geometric Restrictions: Points (SCHEMES)
- Heegner Points (ELLIPTIC CURVES OVER Q AND NUMBER FIELDS)
- Isolated Points on Schemes (SCHEMES)
- Maps and Points (SCHEMES)
- Points (HYPERELLIPTIC CURVES)
- Points (HYPERELLIPTIC CURVES)
- Points in Polytopes and Polyhedra (CONVEX POLYTOPES AND POLYHEDRA)
- Points of Subgroup Schemes (ELLIPTIC CURVES)
- Points of Toric Lattices (CONVEX POLYTOPES AND POLYHEDRA)
- 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 Spaces for a K[G]-Module (MODULES OVER AN ALGEBRA AND GROUP REPRESENTATIONS)
points-at-infinity-on-hypcurves
- CrvHyp_points-at-infinity-on-hypcurves (Example H137E9)
points-blocks
- Design_points-blocks (Example H160E2)
points-cubic-model
- Crv_points-cubic-model (Example H124E40)
points-jac
- Points on the Jacobian (HYPERELLIPTIC CURVES)
points-lines
- Plane_points-lines (Example H154E2)
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 H131E15)
PointsGenus2
- RationalPointsGenus2(C) : CrvHyp -> SetIndx, BoolElt, RngIntElt
- PointsGenus2(C) : CrvHyp -> SetIndx, BoolElt, RngIntElt
PointsInGeneralPosition
- PointsInGeneralPosition(P2,S) : Prj,SetIndx[Pt] -> BoolElt,SeqEnum,SeqEnum,SeqEnum
PointsKnown
- PointsKnown(C) : CrvHyp -> BoolElt
PointsOverDiscriminantPoint
- PointsOverDiscriminantPoint(X, k) : RieSrf, RngIntElt -> SeqEnum[RieSrfPt]
PointsOverSplittingField
- PointsOverSplittingField(Z) : Clstr -> SetEnum
PointsQI
- PointsQI(C, H) : Crv, RngIntElt -> [Pt]
- PointsQI(C, B : parameters) : Crv, RngIntElt -> [Pt]
pol
- Generic Polarised Varieties (HILBERT SERIES OF POLARISED VARIETIES)
pol-is
- Newton_pol-is (Example H56E7)
pol-var
- Generic Polarised Varieties (HILBERT SERIES OF POLARISED VARIETIES)
Polar
- AmbientPolarSpace(J) : AlgMatElt -> SpcPlr
- ComplexToPolar(c) : FldComElt -> FldReElt, FldReElt
- IsPolarSpace(V) : ModTupFld -> BoolElt
- Polar(P) : TorPol -> TorPol
- PolarSpace(F, a) : AlgMatElt[FldFin], FldAut -> ModTupFld[FldFin]
- PolarSpace(L) : LatNF -> SpcPlr
- PolarSpaceType(V) : ModTupFld -> MonStgElt
- PolarToComplex(m, a) : FldReElt, FldReElt -> FldComElt
- TrivialPolarSpace(F, n) : FldFin, RngIntElt -> ModTupFld[FldFin]
Polarisation
- Polarisation(p) : GRPtS -> SeqEnum
- Polarisation(f) : MPolElt -> TenSpcElt, MPolElt
- 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
- Polarisation(f) : MPolElt -> TenSpcElt, MPolElt

V2.29, 21 October 2025

Magma is maintained and distributed by the Computational Algebra Group, School of Mathematics and Statistics, University of Sydney.