Explicit Birational Geometry of 3-folds
Author:   Alessio Corti (University of Cambridge) ,  Miles Reid (University of Warwick)
Publisher:   Cambridge University Press
ISBN:  

9780511758942


Publication Date:   05 August 2013
Format:   Undefined
Availability:   Available To Order   Availability explained
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Explicit Birational Geometry of 3-folds


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Overview

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.

Full Product Details

Author:   Alessio Corti (University of Cambridge) ,  Miles Reid (University of Warwick)
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press (Virtual Publishing)
ISBN:  

9780511758942


ISBN 10:   0511758944
Publication Date:   05 August 2013
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Undefined
Publisher's Status:   Active
Availability:   Available To Order   Availability explained
We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately.

Table of Contents

Foreword; 1. One parameter families containing three dimensional toric Gorenstein singularities K. Altmann; 2. Nonrational covers of CPm × CPn J. Kollár; 3. Essentials of the method of maximal singularities A. V. Pukhlikov; 4. Working with weighted complete intersections A. R. Iano-Fletcher; 5. Fano 3-fold hypersurfaces A. Corti, A. V. Pukhlikov and M. Reid; 6. Singularities of linear systems and 3-fold birational geometry A. Corti; 7. Twenty five years of 3-folds - an old person's view M. Reid.

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