Meng Chen, Fudan University, Shanghai, China

On threefolds of general type with small genus: g = 1/2

Abstract

Due to recent development on explicit birational geometry in dimension 3, we can classify 3-folds of general type into about a dozen of classes by introducing the "numerical genus g" (as a birational invariant). From the definition, g = 1/n (2 £ n £ 18) or g ³ 2 and in fact, the case g ³ 2 is known up to some extent. In the first part of this new series, we study some explicit birational geometry of 3-folds with g = 1/2.