000 02602nam a22003858i 4500
001 CR9781139547895
003 UkCbUP
005 20200124160232.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 120711s2013||||enk o ||1 0|eng|d
020 _a9781139547895 (ebook)
020 _z9781107035348 (hardback)
020 _z9781107471252 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA614.58
_b.K685 2013
082 0 0 _a516.3/5
_223
100 1 _aKollár, János,
_eauthor.
245 1 0 _aSingularities of the minimal model program /
_cJános Kollár, Princeton University ; with the collaboration of Sándor Kovács, University of Washington.
264 1 _aCambridge :
_bCambridge University Press,
_c2013.
300 _a1 online resource (x, 370 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge tracts in mathematics ;
_v200
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 _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.
520 _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interwoven threads, presenting a self-contained and complete theory of these singularities, including many previously unpublished results.
650 0 _aSingularities (Mathematics)
650 0 _aAlgebraic spaces.
700 1 _aKovács, Sándor J.
_q(Sándor József),
_eauthor.
776 0 8 _iPrint version:
_z9781107035348
830 0 _aCambridge tracts in mathematics ;
_v200.
856 4 0 _uhttps://doi.org/10.1017/CBO9781139547895
999 _c517719
_d517717