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Higher-Dimensional Algebraic Geometry by Olivier Debarre
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Higher-Dimensional Algebraic Geometry

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Description

Higher-Dimensional Algebraic Geometry studies the classification theory of algebraic varieties. This very active area of research is still developing, but an amazing quantity of knowledge has accumulated over the past twenty years. The author's goal is to provide an easily accessible introduction to the subject. The book covers in the beginning preparatory and standard definitions and results, moves on to discuss various aspects of the geometry of smooth projective varieties with many rational curves, and finishes in taking the first steps towards Mori's minimal model program of classification of algebraic varieties by proving the cone and contraction theorems. The book is well-organized and the author has kept the number of concepts that are used but not proved to a minimum to provide a mostly self-contained introduction to graduate students and researchers.
Release date Australia
May 26th, 2011
Audience
  • Professional & Vocational
Edition
Softcover reprint of hardcover 1st ed. 2001
Illustrations
11 Illustrations, black and white; XIII, 234 p. 11 illus.
Pages
234
Dimensions
156x234x13
ISBN-13
9781441929174
Product ID
8960700

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