Subindex: <B><B>curve</B> .. CuspidalSubspace</B>

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Subindex: curve .. CuspidalSubspace

curve

   ALGEBRAIC CURVES
   Combinatorial and Geometrical Structures (OVERVIEW)
   Creation from Curve Singularities (RESOLUTION GRAPHS AND SPLICE DIAGRAMS)
   Creation of a Modular Curve (MODULAR CURVES)
   Creation of an Elliptic Curve (ELLIPTIC CURVES)
   Creation of Curve Singularities (HILBERT SERIES OF POLARISED VARIETIES)
   Curve Singularities (HILBERT SERIES OF POLARISED VARIETIES)
   Curves (ALGEBRAIC CURVES)
   Elliptic Curve Chabauty (ELLIPTIC CURVES)
   ELLIPTIC CURVES
   ELLIPTIC CURVES OVER FINITE FIELDS
   ELLIPTIC CURVES OVER FUNCTION FIELDS
   HYPERELLIPTIC CURVES
   Local Geometry (ALGEBRAIC CURVES)

curve-base-change

Crv_curve-base-change (Example H98E2)

curve-differentials

Crv_curve-differentials (Example H98E20)

curve-hessian

Crv_curve-hessian (Example H98E3)

curve-iscusp

Crv_curve-iscusp (Example H98E6)

curve-sing

Curve Singularities (HILBERT SERIES OF POLARISED VARIETIES)

curve_from_invariants

Creation from Invariants (HYPERELLIPTIC CURVES)

CurveDifferential

   CurvePlace(C, p) : Crv, PlcFunElt -> PlcCrvElt
   FunctionFieldDivisor(d) : DivCrvElt -> DivFunElt
   CurveDivisor(C, d) : Crv, DivFunElt -> DivCrvElt
   FunctionFieldDifferential(d) : DiffCrvElt -> DiffFunElt
   CurveDifferential(C, d) : Crv, DiffFunElt -> DiffCrvElt
   FunctionFieldPlace(p) : PlcCrvElt -> PlcFunElt

CurveDivisor

   CurvePlace(C, p) : Crv, PlcFunElt -> PlcCrvElt
   FunctionFieldDivisor(d) : DivCrvElt -> DivFunElt
   CurveDivisor(C, d) : Crv, DivFunElt -> DivCrvElt
   FunctionFieldDifferential(d) : DiffCrvElt -> DiffFunElt
   CurveDifferential(C, d) : Crv, DiffFunElt -> DiffCrvElt
   FunctionFieldPlace(p) : PlcCrvElt -> PlcFunElt

CurveFromIgusa

CrvHyp_CurveFromIgusa (Example H106E5)

curvepl

Genus and Singularities (ALGEBRAIC CURVES)
Global Geometry (ALGEBRAIC CURVES)

CurvePlace

   CurvePlace(C, p) : Crv, PlcFunElt -> PlcCrvElt
   FunctionFieldDivisor(d) : DivCrvElt -> DivFunElt
   CurveDivisor(C, d) : Crv, DivFunElt -> DivCrvElt
   FunctionFieldDifferential(d) : DiffCrvElt -> DiffFunElt
   CurveDifferential(C, d) : Crv, DiffFunElt -> DiffCrvElt
   FunctionFieldPlace(p) : PlcCrvElt -> PlcFunElt

Curves

   NumberOfCurves(D) : DB -> RngIntElt
   # D : DB -> RngIntElt
   Curves(B) : GRBskt -> SeqEnum
   EffectiveSubcanonicalCurves(g) : RngIntElt -> SeqEnum
   EllipticCurves(D) : DB -> [ CrvEll ]
   EllipticCurves(D, S) : DB, MonStgElt -> [ CrvEll ]
   EllipticCurves(D, N) : DB, RngIntElt -> [ CrvEll ]
   EllipticCurves(D, N, I) : DB, RngIntElt, RngIntElt -> [ CrvEll ]
   IneffectiveSubcanonicalCurves(g) : RngIntElt -> SeqEnum
   IsogenousCurves(E) : CrvEll -> SeqEnum, RngIntElt
   NumberOfCurves(D, N) : DB, RngIntElt -> RngIntElt
   NumberOfCurves(D, N, i) : DB, RngIntElt, RngIntElt -> RngIntElt

curves

   Algebraic Curves (ALGEBRAIC CURVES)
   Base Change (ALGEBRAIC CURVES)
   Basic Attributes (ALGEBRAIC CURVES)
   Basic Invariants (ALGEBRAIC CURVES)
   Creation (ALGEBRAIC CURVES)
   Elliptic Curves (MODULAR SYMBOLS)
   MODULAR CURVES
   Ordinary Plane Curves (ALGEBRAIC CURVES)
   Random Curves (ALGEBRAIC CURVES)
   SUPERSINGULAR DIVISORS ON MODULAR CURVES

curves-attributes

Basic Attributes (ALGEBRAIC CURVES)

curves-base-change

Base Change (ALGEBRAIC CURVES)

curves-creation

Creation (ALGEBRAIC CURVES)

curves-in-space

Scheme_curves-in-space (Example H97E53)

curves-invariants

Basic Invariants (ALGEBRAIC CURVES)

Cusp

   CuspWidth(G,x) : GrpPSL2, SetCspElt -> RngIntElt
   DimensionCuspForms(eps, k) : GrpDrchElt, RngIntElt -> RngIntElt
   DimensionCuspFormsGamma0(N, k) : RngIntElt, RngIntElt -> RngIntElt
   DimensionCuspFormsGamma1(N, k) : RngIntElt, RngIntElt -> RngIntElt
   DimensionNewCuspFormsGamma0(N, k) : RngIntElt, RngIntElt -> RngIntElt
   DimensionNewCuspFormsGamma1(N, k) : RngIntElt, RngIntElt -> RngIntElt
   IsCusp(p) : CrvPln,Pt -> BoolElt
   IsCusp(z) : SpcHypElt -> BoolElt

cusp-example

GrpPSL2_cusp-example (Example H37E5)

Cuspidal

   CuspidalSubgroup(A) : ModAbVar -> ModAbVarSubGrp
   CuspidalSubspace(M) : ModBrdt -> ModBrdt
   CuspidalSubspace(M) : ModFrm -> ModFrm
   CuspidalSubspace(M) : ModSS -> ModSS
   CuspidalSubspace(M) : ModSym -> ModSym
   IsCuspidal(M) : ModBrdt -> BoolElt
   IsCuspidal(M) : ModFrm -> BoolElt
   IsCuspidal(M) : ModSym -> BoolElt
   RationalCuspidalSubgroup(A) : ModAbVar -> ModAbVarSubGrp

CuspidalSubgroup

CuspidalSubgroup(A) : ModAbVar -> ModAbVarSubGrp
ModSym_CuspidalSubgroup (Example H108E21)

CuspidalSubgroupTable

ModSym_CuspidalSubgroupTable (Example H108E22)

CuspidalSubspace

   CuspidalSubspace(M) : ModBrdt -> ModBrdt
   CuspidalSubspace(M) : ModFrm -> ModFrm
   CuspidalSubspace(M) : ModSS -> ModSS
   CuspidalSubspace(M) : ModSym -> ModSym

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