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Subindex: toric-example1  ..  Torsion


toric-example1

   Toric_toric-example1 (Example H118E1)

toric-example10

   Toric_toric-example10 (Example H118E2)

toric-fan-ops

   Maps of Fans (TORIC VARIETIES)

toric-fans

   Fans in Toric Lattices (TORIC VARIETIES)

toric-fans-components

   Components of Fans (TORIC VARIETIES)

toric-fans-constructors

   Construction of Fans (TORIC VARIETIES)

toric-fans-properties

   Properties of Fans (TORIC VARIETIES)

toric-flipwts-example

   Toric_toric-flipwts-example (Example H118E17)

toric-from-cox-example

   Toric_toric-from-cox-example (Example H118E11)

toric-geometry

   The Geometry of Toric Varieties (TORIC VARIETIES)

toric-kawamata-blowup-example

   Toric_toric-kawamata-blowup-example (Example H118E12)

toric-lattice

   Toric Lattices (CONVEX POLYTOPES AND POLYHEDRA)

toric-lattice-maps

   Maps of Toric Lattices (CONVEX POLYTOPES AND POLYHEDRA)

toric-lattice-ops

   Operations on Toric Lattices (CONVEX POLYTOPES AND POLYHEDRA)

toric-lattice-points

   Points of Toric Lattices (CONVEX POLYTOPES AND POLYHEDRA)

toric-lattices

   Toric Lattices (CONVEX POLYTOPES AND POLYHEDRA)

toric-lineq

   Linear Equivalence of Divisors (TORIC VARIETIES)

toric-maps

   Maps of Toric Varieties (TORIC VARIETIES)
   Mori Theory of Toric Varieties (TORIC VARIETIES)
   Properties of Toric Maps (TORIC VARIETIES)

toric-maps-lattices

   Maps from Lattice Maps (TORIC VARIETIES)

toric-mmp-example1

   Toric_toric-mmp-example1 (Example H118E19)
   Toric_toric-mmp-example1 (Example H118E21)

toric-movable-example

   Toric_toric-movable-example (Example H118E13)

toric-patches

   Affine Patches on Toric Varieties (TORIC VARIETIES)

toric-polar-cone-example

   Polyhedra_toric-polar-cone-example (Example H143E7)

toric-polyhedron-example

   Polyhedra_toric-polyhedron-example (Example H143E3)
   Polyhedra_toric-polyhedron-example (Example H143E8)

toric-polytope-inequalities-example

   Polyhedra_toric-polytope-inequalities-example (Example H143E4)

toric-primitive-pt

   Polyhedra_toric-primitive-pt (Example H143E12)

toric-properties

   Properties of Toric Varieties (TORIC VARIETIES)

toric-res

   Resolution of Singularities and Linear Systems (TORIC VARIETIES)

toric-rr

   Riemann--Roch Spaces of Invariant Divisors (TORIC VARIETIES)

toric-rr-by-hand

   Toric_toric-rr-by-hand (Example H118E15)

toric-rr-example

   Toric_toric-rr-example (Example H118E14)

toric-scheme

   Construction of Subschemes (TORIC VARIETIES)

toric-simplicial-example

   Toric_toric-simplicial-example (Example H118E16)
   Toric_toric-simplicial-example (Example H118E6)

toric-singular-cones-example

   Toric_toric-singular-cones-example (Example H118E5)

toric-spanning-fan-example

   Toric_toric-spanning-fan-example (Example H118E4)

toric-subschemes

   Schemes in Toric Varieties (TORIC VARIETIES)

toric-terminal-polytope-example

   Toric_toric-terminal-polytope-example (Example H118E7)

toric-torvar

   FakeProjectiveSpace(k,W,Q) : Fld,SeqEnum,SeqEnum -> TorVar
   Constructors for Toric Varieties (TORIC VARIETIES)
   Toric Varieties and Their Fans (TORIC VARIETIES)

toric-varieties

   Toric Varieties (TORIC VARIETIES)

toric-weights-of-flip-example

   Toric_toric-weights-of-flip-example (Example H118E18)

ToricAffinePatch

   ToricAffinePatch(X,i) : TorVar,RngIntElt -> TorVar,TorMap
   ToricAffinePatch(X,S) : TorVar,[RngIntElt] -> TorVar,TorMap

ToricCode

   ToricCode(S, q) : SeqEnum[TorLatElt], RngIntElt -> Code
   ToricCode(P, q) : TorPol, RngIntElt -> Code
   CodeAlG_ToricCode (Example H153E4)

ToricLattice

   ToricLattice(n) : RngIntElt -> TorLat
   ToricLattice(Q) : [[RngIntElt]] -> TorLat,TorLatMap

ToricVariety

   ToricVariety(G) : DivTor -> TorVar
   ToricVariety(k) : Fld -> TorVar
   ToricVariety(k,n) : Fld,RngIntElt -> TorVar
   ToricVariety(k,F) : Fld,TorFan -> TorVar
   ToricVariety(k,Z) : Fld,[RngIntElt] -> TorVar
   ToricVariety(k,Z,Q) : Fld,[RngIntElt],[FldRatElt] -> TorVar
   ToricVariety(k,M,v) : Fld,[[RngIntElt]],[RngIntElt] -> TorVar
   ToricVariety(C) : RngCox -> TorVar

ToricVarietyMap

   ToricVarietyMap(X,Y,f) : TorVar,TorVar,Map -> TorMap

Torsion

   TorsionSubgroup(H) : SetPtEll -> GrpAb, Map
   AbelianGroup(H) : SetPtEll -> GrpAb, Map
   ApproximateByTorsionGroup(G : parameters) : ModAbVarSubGrp -> ModAbVarSubGrp
   ApproximateByTorsionPoint(x : parameters) : ModAbVarElt -> ModAbVarElt
   BinaryTorsionCode(C) : Code -> Code
   GeometricTorsionBound(E) : CrvEll[FldFunG] -> RngIntElt
   HeegnerTorsionElement(E) : CrvEll[FldRat], RngIntElt -> PtEll
   IsCokernelTorsionFree(f) : TorLatMap -> BoolElt
   IsTorsionUnit(w) : RngOrdElt -> BoolElt
   SetOrderTorsionUnit(O, e, r) : RngOrd, RngOrdElt, RngIntElt ->
   ThreeTorsionMatrices(E, C) : CrvEll, RngMPolElt -> Tup
   ThreeTorsionPoints(E : parameters) : CrvEll -> Tup
   ThreeTorsionType(E) : CrvEll -> MonStgElt
   TorsionBound(E, n) : CrvEll, RngIntElt -> RngIntElt
   TorsionBound(E, n) : CrvEll[FldFunG], RngIntElt -> RngIntElt
   TorsionBound(J, n) : JacHyp, RngIntElt -> RngIntElt
   TorsionBound(M, maxp) : ModSym, RngIntElt -> RngIntElt
   TorsionCoefficients(X, q) : SmpCpx, RngIntElt -> SeqEnum[RngElt]
   TorsionFreeRank(A) : GrpAb -> RngIntElt
   TorsionFreeRank(G) : GrpFP -> RngIntElt
   TorsionFreeSubgroup(A) : GrpAb -> GrpAb
   TorsionInvariants(A) : GrpAb -> [ RngIntElt ]
   TorsionLowerBound(A) : ModAbVar -> RngIntElt
   TorsionMultiple(A) : ModAbVar -> RngIntElt
   TorsionSubgroup(E) : CrvEll -> GrpAb, Map
   TorsionSubgroup(E) : CrvEll[FldFunG] -> GrpAb, Map
   TorsionSubgroup(A) : GrpAb -> GrpAb
   TorsionSubgroup(J) : JacHyp -> GrpAb, Map
   TorsionSubgroup(A) : ModAbVar -> BoolElt, ModAbVarSubGrp
   TorsionSubgroup(H) : SetPtEll -> GrpAb, Map
   TorsionSubgroupScheme(G, n) : SchGrpEll, RngIntElt -> SchGrpEll
   TorsionUnitGroup(K) : FldNum -> GrpAb, Map
   TorsionUnitGroup(O) : RngOrd -> GrpAb, Map
   TwoTorsionPolynomial(E) : CrvEll -> RngMPolElt
   TwoTorsionSubgroup(J) : JacHyp -> GrpAb, Map
   TwoTorsionSubgroup(Q) : QuadBin -> GrpAb, Map
   nTorsionSubgroup(A, n) : ModAbVar, RngIntElt -> ModAbVarSubGrp
   nTorsionSubgroup(G, n) : ModAbVarSubGrp, RngIntElt -> ModAbVarSubGrp
   pPowerTorsion(E, p) : CrvEll, RngIntElt -> GrpAb, Map

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