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Higher-Dimensional Algebraic Geometry

Name: Higher-Dimensional Algebraic Geometry
Brand: Springer-Verlag New York Inc.
SKU: 05248025
Price: 94.28 EUR
Availability: InStock
Author: Olivier Debarre
ISBN: 9780387952277

Olivier Debarre

Language

English

Book Hardback

Libristo code: 05248025

Publishers Springer-Verlag New York Inc., June 2001

Higher-Dimensional Algebraic Geometry studies the classification theory of algebraic varieties. This... Full description

Libristo code: 05248025

228 b

94.28 €

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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.