writeDivisorInNonadjacentBasis -- write a divisor in the nonadjacent basis

Synopsis

Usage:

writeDivisorInNonadjacentBasis(D)
Inputs:
- D, an instance of the type DivisorClassRepresentativeM0nbar,
Outputs:
- E, an instance of the type DivisorClassRepresentativeM0nbar,

Description

The nonadjacent basis is described in Carr, A polygonal presentation of $Pic(\bar{M}_{0,n})$, arXiv:0911.2649.

This function takes a divisor class and writes it in the nonadjacent basis.

Needs more advanced tests!

i1 : L= {{1,2}=>1};

i2 : D=divisorClassRepresentativeM0nbar(5,L);

i3 : writeDivisorInNonadjacentBasis(D)

o3 = DivisorClassRepresentativeM0nbar{"DivisorExpression" => HashTable{{1, 3} => 1 }}
                                                                       {2, 5} => 1
                                                                       {3, 5} => -1
                                      "NumberOfMarkedPoints" => 5

o3 : DivisorClassRepresentativeM0nbar

i4 : L= {{1,5,6}=>1};

i5 : D=divisorClassRepresentativeM0nbar(6,L);

i6 : writeDivisorInNonadjacentBasis(D)

o6 = DivisorClassRepresentativeM0nbar{"DivisorExpression" => HashTable{{1, 3, 4} => 1 }}
                                                                       {1, 3, 5} => -1
                                                                       {1, 4, 6} => 1
                                                                       {1, 4} => 1
                                                                       {1, 5} => -1
                                                                       {2, 4} => -1
                                                                       {2, 5} => 1
                                      "NumberOfMarkedPoints" => 6

o6 : DivisorClassRepresentativeM0nbar

Ways to use writeDivisorInNonadjacentBasis:

writeDivisorInNonadjacentBasis(DivisorClassRepresentativeM0nbar)

For the programmer

The object writeDivisorInNonadjacentBasis is a method function.