Graphs, Vertices and Printing
g eq h : GrphRes,GrphRes -> BoolElt
ResolutionGraphVertex(g,i) : GrphRes,RngIntElt -> GrphResVert
Vertex(v) : GrphResVert -> GrphVert
ResolutionGraph(v) : GrphResVert -> GrphRes
IsVertex(g,v) : GrphRes,GrphResVert -> BoolElt
Index(v) : GrphResVert -> RngIntElt
v eq w : GrphResVert,GrphResVert -> BoolElt
Creation from Curve Singularities
ResolutionGraph(C, p) : Sch, Pt -> GrphRes
Example GrphRes_singularity (H115E1)
Creation from Pencils
ResolutionGraph(P) : LinearSys -> GrphRes
ResolutionGraph(P,a,b) : LinearSys,RngElt,RngElt -> GrphRes
Example GrphRes_pencil (H115E2)
Creation by Hand
MakeResolutionGraph(g,s,t) : GrphDir,SeqEnum,SeqEnum -> GrphRes
MakeResolutionGraph(N) : NwtnPgon -> GrphRes
UnderlyingGraph(g) : GrphRes -> GrphDir
Modifying Resolution Graphs
Connect(v,w) : GrphResVert,GrphResVert -> GrphRes
CalculateCanonicalClass(~g) : GrphRes ->
Disconnect(v,w) : GrphResVert -> GrphRes
Component(v) : GrphResVert -> GrphRes
CalculateMultiplicities(~g) : GrphRes ->
CalculateTransverseIntersections(~g) : GrphRes ->
ModifySelfintersection(~v,n) : GrphResVert,RngIntElt ->
ModifyTransverseIntersection(~v,n) : GrphResVert,RngIntElt ->
Numerical Data Associated to a Graph
Size(g) : GrphRes -> RngIntElt
SelfIntersections(g) : GrphRes -> SeqEnum
Multiplicities(g) : GrphRes -> SeqEnum
CanonicalClass(g) : GrphRes -> SeqEnum
TransverseIntersections(g) : GrphRes -> SeqEnum
GenusContribution(g) : GrphRes -> RngIntElt
CartanMatrix(g) : GrphRes -> Mtrx
Determinant(g) : GrphRes -> RngElt
Creation of Splice Diagrams
SpliceDiagram(C,p) : Sch,Pt -> GrphSpl
RegularSpliceDiagram(P) : LinearSys -> GrphSpl
MakeSpliceDiagram(g,e,a) : GrphDir,SeqEnum,SeqEnum -> GrphSpl
MakeSpliceDiagram(e,l,a) : SeqEnum,SeqEnum,SeqEnum -> GrphSpl
SpliceDiagramVertex(s,i) : GrphSpl,RngIntElt -> GrphSplVert
SpliceDiagram(v) : GrphSplVert -> GrphSpl
UnderlyingGraph(s) : GrphSpl -> GrphDir
UnderlyingVertex(v) : GrphSplVert -> GrphVert
Vertices(s) : GrphSpl -> SeqEnum
RootVertex(s) : GrphSpl -> GrphSplVert
Index(v) : GrphSplVert -> RngIntElt
s eq t : GrphSpl,GrphSpl -> BoolElt
Numerical Functions of Splice Diagrams
EdgeLabels(s) : GrphSpl -> SeqEnum
VertexLabels(s) : GrphSpl -> SeqEnum
TotalLinking(v) : GrphSplVert -> RngIntElt
LinkingNumbers(s) : GrphSpl -> SeqEnum
Linking(u,v) : GrphSplVert,GrphSplVert -> RngIntElt
EdgeDeterminant(u,v) : GrphSplVert,GrphSplVert -> RngIntElt
Valency(v) : GrphSplVert -> RngIntElt
IsRegular(s) : GrphSpl -> BoolElt
IsReduced(s) : GrphSpl -> BoolElt
HasIrregularFibres(s) : GrphSpl -> BoolElt
Degree(s) : GrphSpl -> RngIntElt
EulerCharacteristic(s) : GrphSpl -> RngIntElt
Size(s) : GrphRes -> RngIntElt
Arrows(s) : GrphRes -> SeqEnum
VertexPath(u,v) : GrphSplVert,GrphSplVert -> SeqEnum,SeqEnum
Splice Diagrams from Resolution Graphs
SpliceDiagram(g) : GrphRes -> GrphSpl
SpliceDiagram(g,v) : GrphRes,GrphResVert -> GrphSpl
Bibliography
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Version: V2.19 of
Mon Dec 17 14:40:36 EST 2012