Resumen de Complex algebraic plane curves via the Poincaré¿Hopf formula, I: Parametric lines
Maciej Borodzik, Henryk Zoladek
We present a new and very eficient approach to study topology of algebraic curves in C2. It relies on using the Poincaré¿Hopf formula, applied to a suitable Hamiltonian vector field, to estimate the number of double points and the Milnor numbers of singular points of the curve and on considering finite-dimensional spaces of curves with given asymptotics at infinity. We apply this method to classification of parametric lines with one self-intersection.
