A problem for all the mathematicians in the world in the areas of Algebraic Topology and Topological Group theory and Automorphism groups of Riemann surfaces and Topological Groups and their Toplogical Genus g.
I am writng a paper in the above areas and one problem has kept me busy for six months now, which I thought of asking you all to see if there is a way to rich the answer I am looking for.
My problem:
Given the equation of a topological Riemann Surface in the following style and form:
F:=GovaField(79);
P:=PolynomialRing(F);
R:=PolynomialRing(P);
G:=
FunctionField((X^(13*m)*Y^(13*n) +X^13*n *Y^13*m)+
(X^13*k * Y^13*l +X^13*l *Y^13*k)+
(X^13*p + Y^13*p) -1);
Genus(G):= ?
Question for all Mathematician in these areas:
For what values of the unknown {m, n, k, l, p},
the value of the g = Genus(G):=21763?