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101 0 $aeng
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181   $ctxt$2rdacontent
182   $cc$2rdamedia
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200 10$aSingularities of the minimal model program /$fJa?nos Kolla?r, Princeton University ; with the collaboration of Sa?ndor Kova?cs, University of Washington$b[electronic resource]
210  1$aCambridge :$cCambridge University Press,$d2013.
215   $a1 online resource (x, 370 pages) $cdigital, PDF file(s)
225 1 $aCambridge tracts in mathematics ;$v200
300   $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
311   $a1-107-47125-7 
311   $a1-107-03534-1 
320   $aIncludes bibliographical references and index.
327   $aPreface -- 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.
330   $aThis book gives a comprehensive treatment of the singularities that appear in the minimal model program and in the moduli problem for varieties. The study of these singularities and the development of Mori's program have been deeply intertwined. Early work on minimal models relied on detailed study of terminal and canonical singularities but many later results on log terminal singularities were obtained as consequences of the minimal model program. Recent work on the abundance conjecture and on moduli of varieties of general type relies on subtle properties of log canonical singularities and conversely, the sharpest theorems about these singularities use newly developed special cases of the abundance problem. This book untangles these interwoven threads, presenting a self-contained and complete theory of these singularities, including many previously unpublished results.
410  0$aCambridge tracts in mathematics ;$v200.
606   $aSingularities (Mathematics)
606   $aAlgebraic spaces
615  0$aSingularities (Mathematics)
615  0$aAlgebraic spaces.
676   $a516.3/5
686   $aMAT038000$2bisacsh
700   $aKolla?r$b Ja?nos$065993
702   $aKova?cs$b Sa?ndor J$g(Sa?ndor Jo?zsef),
801  0$bUkCbUP
801  1$bUkCbUP
906   $aBOOK
912   $a9910788869303321
996   $aSingularities of the minimal model program$9832853
997   $aUNINA