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Higher-Dimensional Algebraic Geometry
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ISBN: 0387952276 Year: 2001 Publisher: New York : Springer,

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Abstract

"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. Based on lectures given at Harvard University, the book begins with 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 toward Mori's minimal model program of classification of algebraic varieties by proving the cone and contraction theorems."--BOOK JACKET.


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Albanese and Picard 1-motives
Authors: ---
ISBN: 2856291139 Year: 2001 Publisher: Paris : Société Mathématique de France - SMF,

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