Explicit birational geometry of 3-folds
By: edited by Alessio Corti, Miles Reid.
Contributors: Corti, Alessio, 1965-; Reid, Miles
Series: London Mathematical Society lecture note series ;; 281
Publisher: Cambridge University Press
Published: 2000
Place of publication: Cambridge, U.K; New York
Language: eng
Number of pages: 349
Subjects: Threefolds (Algebraic geometry); Geometry, Algebraic.; Surfaces, Algebraic.
Other titles: Explicit birational geometry of three-folds; Birational geometry of 3-folds
Description: One 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.
Notes: Includes bibliographical references and index.