Title: Classification of extremal elliptic <i>K</i>3 surfaces and fundamental groups of open <i>K</i>3 surfaces
Abstract:We present a complete list of extremal elliptic K 3 surfaces (Theorem 1.1). As an application, we give a sufficient condition for the topological fundamental group of complement to an ADE -configurati...We present a complete list of extremal elliptic K 3 surfaces (Theorem 1.1). As an application, we give a sufficient condition for the topological fundamental group of complement to an ADE -configuration of smooth rational curves on a K 3 surface to be trivial (Proposition 4.1 and Theorem 4.3).Read More