000 02697nam a22003858i 4500
001 CR9780511758942
003 UkCbUP
005 20200124160231.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 100430s2000||||enk o ||1 0|eng|d
020 _a9780511758942 (ebook)
020 _z9780521636414 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA564
_b.E97 2000
082 0 4 _a516.35
_221
245 0 0 _aExplicit birational geometry of 3-folds /
_cedited by Alessio Corti, Miles Reid.
264 1 _aCambridge :
_bCambridge University Press,
_c2000.
300 _a1 online resource (v, 349 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aLondon Mathematical Society lecture note series ;
_v281
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 0 _rAlessio Corti and Miles Reid --
_tForeword /
_rKlaus Altmann --
_tOne parameter families contaning three dimensional toric gorenstein singularities /
_rJános Kollár --
_tNonrational covers of CPm X CPn /
_rAleksandr V. Pukhlikov --
_tEssentials of the method of maximal singularities /
_rA.R. Iano-Fletcher --
_tWorking with weighted complete intersections /
_rAlessio Corti, Aleksandr Pukhlikov and Miles Reid --
_tFano 3-fold hypersurfaces /
_rAlessio Cortio --
_tSingularities of linear systems and 3-fold birational geometry /
_rMiles Reid --
_tTwenty five years of 3-folds-an old person's view.
520 _aOne of the main achievements of algebraic geometry over the last 30 years is the work of Mori and others extending minimal models and the Enriques-Kodaira classification to 3-folds. This book, first published in 2000, is an integrated suite of papers centred around applications of Mori theory to birational geometry. Four of the papers (those by Pukhlikov, Fletcher, Corti, and the long joint paper Corti, Pukhlikov and Reid) work out in detail the theory of birational rigidity of Fano 3-folds; these contributions work for the first time with a representative class of Fano varieties, 3-fold hypersurfaces in weighted projective space, and include an attractive introductory treatment and a wealth of detailed computation of special cases.
650 0 _aThreefolds (Algebraic geometry)
650 0 _aGeometry, Algebraic.
650 0 _aSurfaces, Algebraic.
700 1 _aCorti, Alessio,
_d1965-
_eeditor.
700 1 _aReid, Miles
_q(Miles A.),
_eeditor.
776 0 8 _iPrint version:
_z9780521636414
830 0 _aLondon Mathematical Society lecture note series ;
_v281.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511758942
999 _c517613
_d517611