Karol Palka Title: Generalized Jacobian Conjecture for plane-like surfaces II Abstract: In the 80'ties M. Miyanishi formulated a geometric version of the Jacobian Conjecture (“every e'tale endomorphism is proper”) and started studying it for complex varieties similar to affine spaces. We concentrate on a natural class containing the affine plane, Q-acyclic surfaces of negative Kodaira dimension, for many of which the conjecture remains open. PART 2: Finite fundamental group and counterexamples. This is a joint project with A. Dubouloz.