03246nam 22006372 450 991078886930332120151005020624.01-107-23846-31-107-31478-X1-107-30923-91-107-30703-11-107-31258-21-107-30598-51-139-54789-51-299-40318-21-107-30194-7(CKB)3360000000479567(UkCbUP)CR9781139547895(Au-PeEL)EBL1113117(CaPaEBR)ebr10679177(CaONFJC)MIL471568(OCoLC)833769054(MiAaPQ)EBC1113117(PPN)261305530(EXLCZ)99336000000047956720120711d2013|||| uy| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierSingularities of the minimal model program /János Kollár, Princeton University ; with the collaboration of Sándor Kovács, University of Washington[electronic resource]Cambridge :Cambridge University Press,2013.1 online resource (x, 370 pages) digital, PDF file(s)Cambridge tracts in mathematics ;200Title from publisher's bibliographic system (viewed on 05 Oct 2015).1-107-47125-7 1-107-03534-1 Includes bibliographical references and index.Preface -- Introduction -- Preliminaries -- Canonical and log canonical singularities -- Examples -- Adjunction and residues -- Semi-log-canonical pairs -- Du Bois property -- Log centers and depth -- Survey of further results and applications -- Finite equivalence relations -- Ancillary results.This book gives a comprehensive treatment of the singularities that appear in the minimal model program and in the moduli problem for varieties. The study of these singularities and the development of Mori's program have been deeply intertwined. Early work on minimal models relied on detailed study of terminal and canonical singularities but many later results on log terminal singularities were obtained as consequences of the minimal model program. Recent work on the abundance conjecture and on moduli of varieties of general type relies on subtle properties of log canonical singularities and conversely, the sharpest theorems about these singularities use newly developed special cases of the abundance problem. This book untangles these interwoven threads, presenting a self-contained and complete theory of these singularities, including many previously unpublished results.Cambridge tracts in mathematics ;200.Singularities (Mathematics)Algebraic spacesSingularities (Mathematics)Algebraic spaces.516.3/5MAT038000bisacshKollár János65993Kovács Sándor J(Sándor József),UkCbUPUkCbUPBOOK9910788869303321Singularities of the minimal model program832853UNINA