Goals
Fix a field K of characteristic 0 (think K = Q).
Consider the curve
C : f (x, y) = 0
where f (x, y) ∈ K[x, y] is squarefree.
We would like to
Determine the genus of C,
Compute Riemann-Roch spaces on C,
Construct the Jacobian of C,
. . .
Nicolas Mascot Algebraic curves