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Birational Geometry of Algebraic Varieties: Cambridge Tracts in Mathematics, cartea 134

Autor Janos Kollár, Shigefumi Mori
en Limba Engleză Paperback – 3 feb 2008
One of the major discoveries of the last two decades of the twentieth century in algebraic geometry is the realization that the theory of minimal models of surfaces can be generalized to higher dimensional varieties. This generalization, called the minimal model program or Mori's program, has developed into a powerful tool with applications to diverse questions in algebraic geometry and beyond. This book provides the a comprehensive introduction to the circle of ideas developed around the program, the prerequisites being only a basic knowledge of algebraic geometry. It will be of great interest to graduate students and researchers working in algebraic geometry and related fields.
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Specificații

ISBN-13: 9780521060226
ISBN-10: 0521060222
Pagini: 264
Dimensiuni: 152 x 228 x 17 mm
Greutate: 0.39 kg
Ediția:1
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Cambridge Tracts in Mathematics

Locul publicării:Cambridge, United Kingdom

Cuprins

1. Rational curves and the canonical class; 2. Introduction to minimal model program; 3. Cone theorems; 4. Surface singularities; 5. Singularities of the minimal model program; 6. Three dimensional flops; 7. Semi-stable minimal models.

Recenzii

Review of the hardback: '… the book is very crisply written, unusually easy to read for a book covering advanced material, and is moreover very concise for the book for reference, but is also an ideal book on which to base a series of seminars for research students, or indeed for research students to read by themselves.' P. M. H. Wilson, Bulletin of the London Mathematical Society
Review of the hardback: '… a very good survey of present research.' European Mathematical Society
Review of the hardback: 'I can recommend it to anyone wanting to get a deeper knowledge than just getting a survey of some facts on the classification theory.' M. Coppens, Niew Archief voor Wiskunde
Review of the hardback: '… a very good survey of present research … a very clear presentation of the subject.' EMS

Descriere

This book provides the first comprehensive introduction to the circle of ideas developed around Mori's program.