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  1. Home
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  3. Explicit Birational Geometry of 3-folds
  • Cited by 15
Publisher:
Cambridge University Press
Online publication date:
August 2013
Print publication year:
2000
Online ISBN:
9780511758942
DOI:
https://doi.org/10.1017/CBO9780511758942
Subjects:
Mathematics (general), Mathematics, Geometry and Topology
Series:
London Mathematical Society Lecture Note Series (281)
Information

Book 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.

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