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M0nbar :: writeCurveInSingletonSpineBasis(ZZ,List)

writeCurveInSingletonSpineBasis(ZZ,List) -- write a curve class in the singleton spine basis of curve

Synopsis

Description

This function writes a curve class in the singleton spine basis of curves. The input is the number of marked points n, and a list of the intersection numbers with the nonadjacent basis of divisors.

Recall that the singleton spine basis of curves is only defined on $\bar{M}_{0,n}$ if $n \geq 7$.

i1 : L= { {{1,2},{3,4},{5,6},{7,8}}=>1 };
i2 : C=curveClassRepresentativeM0nbar(8,L);
i3 : v=writeCurveInDualNonadjacentBasis(C);
i4 : writeCurveInSingletonSpineBasis(8,v)

o4 = CurveClassRepresentativeM0nbar{CurveExpression => HashTable{{{1, 2}, {3, 4}, {5}, {6, 7, 8}} => 1 }}
                                                                 {{1, 3, 4, 5, 6}, {2}, {7}, {8}} => -1
                                                                 {{1, 3, 4, 5, 8}, {2}, {6}, {7}} => 1
                                                                 {{1, 3, 4, 7, 8}, {2}, {5}, {6}} => -1
                                                                 {{1, 8}, {2}, {3, 4, 5}, {6, 7}} => 1
                                                                 {{1}, {2, 3, 4, 5}, {6}, {7, 8}} => 1
                                                                 {{1}, {2, 3, 4, 7, 8}, {5}, {6}} => -1
                                                                 {{1}, {2}, {3, 4, 5, 6, 7}, {8}} => 1
                                                                 {{1}, {2}, {3, 4, 5, 6}, {7, 8}} => -1
                                                                 {{1}, {2}, {3, 4, 6, 7, 8}, {5}} => 1
                                                                 {{1}, {2}, {3, 4, 7, 8}, {5, 6}} => -1
                                    NumberOfMarkedPoints => 8

o4 : CurveClassRepresentativeM0nbar