Birational geometry of algebraic varieties

By: Janos KollárMaterial type: TextTextSeries: Cambridge Tracts in Mathematics ; 134Publication details: Cambridge, U.K.: Cambridge University Press, [c1998]Description: 254 pISBN: 9780521060226Subject(s): Mathematics | Geometry and TopologyLOC classification: QA571
Contents:
1 - Rational Curves and the Canonical Class 2 - Introduction to the Minimal Model Program 3 - Cone Theorems 4 - Surface Singularities of the Minimal Model Program 5 - Singularities of the Minimal Model Program 6 - Three-dimensional Flops 7 - Semi-stable Minimal Models
Summary: 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. --- summary provided by publisher
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Item type Current library Collection Shelving location Call number Status Notes Date due Barcode Item holds
Book Book ICTS
Mathematic Rack No 6 QA571 (Browse shelf (Opens below)) Available Invoice no. IN00 7092 ; Date 22-02-2019 01728
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1 - Rational Curves and the Canonical Class
2 - Introduction to the Minimal Model Program
3 - Cone Theorems
4 - Surface Singularities of the Minimal Model Program
5 - Singularities of the Minimal Model Program
6 - Three-dimensional Flops
7 - Semi-stable Minimal Models

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. --- summary provided by publisher

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