03405nam 22004215a 450 991015192950332120101215234500.03-03719-507-X10.4171/007(CKB)3710000000953863(CH-001817-3)124-101215(PPN)178155861(EXLCZ)99371000000095386320101215j20101230 fy 0engurnn|mmmmamaatxtrdacontentcrdamediacrrdacarrierClassification of Algebraic Varieties[electronic resource] /Carel Faber, Gerard van der Geer, Eduard LooijengaZuerich, Switzerland European Mathematical Society Publishing House20101 online resource (346 pages)EMS Series of Congress Reports (ECR) ;2523-515XStable varieties with a twist /Dan Abramovich, Brendan Hassett --Basic properties of log canonical centers /Florin Ambro --Burniat surfaces I: fundamental groups and moduli of primary Burniat surfaces /Ingrid Bauer, Fabrizio Catanese --Minimal models, flips and finite generation: a tribute to V.V. Shokurov and Y.-T. Siu /Caucher Birkar, Mihai Paun --Remarks on an example of K. Ueno /Frédéric Campana --Special orbifolds and birational classification: a survey /Frédéric Campana --Birational geometry of threefolds /Jungkai Alfred Chen --Emptiness of homogeneous linear systems with ten general base points /Ciro Ciliberto, Olivia Dumitrescu, Rick Miranda, Joaquim Roé --Finite generation of adjoint rings after Lazic: an introduction /Alessio Corti --Log canonical thresholds on varieties with bounded singularities /Tommaso de Fernex, Lawrence Ein, Mircea Mustaţă --Brill-Noether geometry on moduli spaces of spin curves /Gavril Farkas --On the bimeromorphic geometry of compact complex contact threefolds /Kristina Frantzen, Thomas Peternell --Introduction to the theory of quasi-log varieties /Osamu Fujino --On Kawamata's theorem /Osamu Fujino --Remarks on the cone of divisors /Yujiro Kawamata --p-elementary subgroups of the Cremona group of rank 3 /Yuri Prokhorov.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.AlgebrabicsscAlgebraic geometrymscAlgebraAlgebraic geometry14-xxmscFaber Carelvan der Geer GerardLooijenga Eduardch0018173BOOK9910151929503321Classification of algebraic varieties1948156UNINA