|
D.15.25.14 TropCovandMaps
Procedure from library tropicalEllipticCovers.lib (see tropicalEllipticCovers_lib).
- Usage:
- TropCovandMaps(G,aa,O,Lw,n); G graph, aa list, O list, Lw list, n int
- Assume:
- G is a pearl chain, aa is a partition of the degree of the graph G, O is a given
ordering of the vertices of G, Lw is a list of leaks and white vertices in G.
NOTE: Requires pdflatex to be installed.
- Return:
- Depending on n this procedure returns either a pdf or a latex file for the curled
pearl chains of an elliptic curve and their corresponding stable maps of ExP1
for a fixed ordering of the vertices of the source curve and a fixed partition
of its degree.
- Theory:
- For a given ordering of the vertices of G, this function computes a list of
commands that can be executed in TikZ. Each list represents a cover of the
elliptic curve E and its corresponding stable map of ExP1. Since G is a pearl
chain this procedure draws the black and white pearls of G accordingly using
information from list lw.
Example:
| LIB "tropicalEllipticCovers.lib";
ring r=0,(x1,x2,x3,x4,x5),dp;
graph P=makeGraph(list(1,2,3,4,5),list(list(1,2),list(2,3),list(3,4),list(4,1),list(1,5),list(5,3)));
graph P1=makeGraph(list(1,2,3,4),list(list(1,2),list(2,3),list(3,4),list(4,1)));
//graphs P and P1 are pearl chains
TropCovandMaps(P,list(0,0,0,1,2,0),list(x1,x2,x3,x4,x5),list(0,0,0,0,0,1,3), 0);
|
|