000			03891cam a2200433Mi 4500
001			ocn837185866
003			OCoLC
005			20240726105336.0
008			121114s2013 enk ob 001 0 eng d
040			_aCDX _beng _epn _erda _cCDX _dOCLCO _dCAMBR _dCOO _dOCLCQ _dOCLCF _dYDXCP _dNT
020			_a9781139547895 _q((electronic)l(electronic)ctronic)
020			_a9781107314788 _q((electronic)l(electronic)ctronic)
050	0	4	_aQA614 _b.S564 2013
049			_aNTA
100	1		_aKollár, János. _e1
245	1	0	_aSingularities of the minimal model programJános Kollár, Princeton University ; with the collaboration of Sándor Kovács, University of Washington.
260			_aCambridge : _bCambridge University Press, _c(c)2013.
260			_aCambridge : _bCambridge University Press, _c(c)2013.
300			_a1 online resource (378 pages).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_adata file _2rda
490	0		_aCambridge tracts in mathematics ; _v200
504			_a2
505	0	0	_aMachine generated contents note: Preface; Introduction; 1. Preliminaries; 2. Canonical and log canonical singularities; 3. Examples; 4. Adjunction and residues; 5. Semi-log-canonical pairs; 6. Du Bois property; 7. Log centers and depth; 8. Survey of further results and applications; 9. Finite equivalence relations; 10. Appendices; References; Index.
520	0		_a"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interwoven threads, presenting a self-contained and complete theory of these singularities, including many previously unpublished results"-- _cProvided by publisher.
520	0		_a"In 1982 Shigefumi Mori outlined a plan - now called Mori's program or the minimal model program - whose aim is to investigate geometric and cohomological questions on algebraic varieties by constructing a birational model especially suited to the study of the particular question at hand. The theory of minimal models of surfaces, developed by Castelnuovo and Enriques around 1900, is a special case of the 2-dimensional version of this plan. One reason that the higher dimensional theory took so long in coming is that, while the minimal model of a smooth surface is another smooth surface, a minimal model of a smooth higher dimensional variety is usually a singular variety. It took about a decade for algebraic geometers to understand the singularities that appear and their basic properties. Rather complete descriptions were developed in dimension 3 by Mori and Reid and some fundamental questions were solved in all dimensions"-- _cProvided by publisher.
530			_a2 _ub
650		0	_aSingularities (Mathematics)
650		0	_aAlgebraic spaces.
655		1	_aElectronic Books.
700	1		_aKovács, Sándor J.
700	1		_q(Sándor József)
856	4	0	_uhttps://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=529668&site=eds-live&custid=s3260518 _zClick to access digital title | log in using your CIU ID number and my.ciu.edu password
942			_cOB _D _eEB _hQA. _m2013 _QOL _R _x _8NFIC _2LOC
994			_a02 _bNT
999			_c97180 _d97180
902			_a1 _bCynthia Snell _c1 _dCynthia Snell