Riemann-Roch : Applications
We put a genus 1 curve in Weierstrass form:
C1 = CrvInit((x+y+1/x+1/y+1)*x*y);
CrvPrint(C1)
CrvEll(C1,[1,0,0])
We find a rational parametrisation of a curve of genus 0:
f = x^5+y^4+x^2*y^3;
C0 = CrvInit(f);
CrvPrint(C0)
[X,Y] = CrvRat(C0,1)
substvec(f,[x,y],[X,Y])
Nicolas Mascot Algebraic curves