Classification of Algebraic Varieties
Editors
Carel Faber
Royal Institute of Technology, Stockholm, SwedenEduard Looijenga
University of Utrecht, The NetherlandsGerard van der Geer
University of Amsterdam, The Netherlands
Fascinating and surprising developments are taking place in the classification of algebraic varieties. Work of Hacon and McKernan and many others is causing a wave of breakthroughs in the Minimal Model Program: we now know that for a smooth projective variety the canonical ring is finitely generated. These new results and methods are reshaping the field.
Inspired by this exciting progress, the editors organized a meeting at Schiermonnikoog and invited leading experts to write papers about the recent developments. The result is the present volume, a lively testimony of the sudden advances that originate from these new ideas.
This volume will be of interest to a wide range of pure mathematicians, but will appeal especially to algebraic and analytic geometers.