Prefer a chat interface with context about you and your work?
Plane curves with a big fundamental group of the complement
Let $C \s \pr^2$ be an irreducible plane curve whose dual $C^* \s \pr^{2*}$ is an immersed curve which is neither a conic nor a nodal cubic. The main result states that the Poincar\'e group $\pi_1(\pr^2 \se C)$ contains a free group with two generators. If the geometric genus $g$ …