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200 10$aClassification of Algebraic Varieties$b[electronic resource] /$fCarel Faber, Gerard van der Geer, Eduard Looijenga
210 3 $aZuerich, Switzerland $cEuropean Mathematical Society Publishing House$d2010
215   $a1 online resource (346 pages)
225 0 $aEMS Series of Congress Reports (ECR) ;$x2523-515X
327   $tStable varieties with a twist /$rDan Abramovich, Brendan Hassett --$tBasic properties of log canonical centers /$rFlorin Ambro --$tBurniat surfaces I: fundamental groups and moduli of primary Burniat surfaces /$rIngrid Bauer, Fabrizio Catanese --$tMinimal models, flips and finite generation: a tribute to V.V. Shokurov and Y.-T. Siu /$rCaucher Birkar, Mihai Paun --$tRemarks on an example of K. Ueno /$rFre?de?ric Campana --$tSpecial orbifolds and birational classification: a survey /$rFre?de?ric Campana --$tBirational geometry of threefolds /$rJungkai Alfred Chen --$tEmptiness of homogeneous linear systems with ten general base points /$rCiro Ciliberto, Olivia Dumitrescu, Rick Miranda, Joaquim Roe? --$tFinite generation of adjoint rings after Lazic: an introduction /$rAlessio Corti --$tLog canonical thresholds on varieties with bounded singularities /$rTommaso de Fernex, Lawrence Ein, Mircea Mustat?a? --$tBrill-Noether geometry on moduli spaces of spin curves /$rGavril Farkas --$tOn the bimeromorphic geometry of compact complex contact threefolds /$rKristina Frantzen, Thomas Peternell --$tIntroduction to the theory of quasi-log varieties /$rOsamu Fujino --$tOn Kawamata's theorem /$rOsamu Fujino --$tRemarks on the cone of divisors /$rYujiro Kawamata --$tp-elementary subgroups of the Cremona group of rank 3 /$rYuri Prokhorov.
330   $aFascinating 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.
606   $aAlgebra$2bicssc
606   $aAlgebraic geometry$2msc
615 07$aAlgebra
615 07$aAlgebraic geometry
686   $a14-xx$2msc
702   $aFaber$b Carel
702   $avan der Geer$b Gerard
702   $aLooijenga$b Eduard
801  0$bch0018173
906   $aBOOK
912   $a9910151929503321
996   $aClassification of algebraic varieties$91948156
997   $aUNINA