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 EMS Series of Congress Reports 2011; 346 pp; hardcover Volume: 3 ISBN-10: 3-03719-007-8 ISBN-13: 978-3-03719-007-4 List Price: US$98 Member Price: US$78.40 Order Code: EMSSCR/3 Fascinating and surprising developments are taking place in the classification of algebraic varieties. The 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 to 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. A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society. Readership Graduate students and research mathematicians interested in pure mathematics. Table of Contents D. Abramovich and B. Hassett -- Stable varieties with a twist F. Ambro -- Basic properties of log canonical centers I. Bauer and F. Catanese -- Burniat surfaces I: Fundamental groups of moduli of primary Burniat surfaces C. Birkar and M. Păun -- Minimal models, flip and finite generation: A tribute to V. V. Shokurov and Y.-T. Siu F. Campana -- Remarks on an example of K. Ueno F. Campana -- Special orbifolds and birational classification: A survey J. A. Chen -- Birational geometry of threefolds C. Ciliberto, O. Dumitrescu, R. Miranda, and J. Roé -- Emptiness of homogeneous linear systems with ten general base points A. Corti -- Finite generation of adjoiint rings after Lazić: An introduction T. de Fernex, L. Ein, and M. Mustaţă -- Log canonical thresholds on varieties with bounded singularities G. Farkas -- Brill-Noether geometry on moduli spaces of spin curves K. Frantzen and T. Peternell -- On the bimeromorphic geometry of compact complex contact threefolds O. Fujino -- Introduction to the theory of quasi-log varieties O. Fujino -- On Kawamata's theorem Y. Kawamata -- Remarks on the cone of divisors Y. Prokhorov -- p-elementary subgroups of the Cremona group of rank 3