Science/Engineering Higher-Dimensional Algebraic Geometry (0387952276)

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Higher-Dimensional Algebraic Geometry

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 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.

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	Science/Engineering Higher-Dimensional Geometry over Finite Fields Higher-Dimensional Geometry over Finite Fields360 pages \| IOS Press (May 15, 2008) \| ISBN: 1586038559 \| PDF \| 3 MbNumber systems based on a finite collection of symbols, such as the 0s and 1s of computer circuitry, are ubiquitous in the mod ...
	Science/Engineering Geometry of Low-Dimensional Manifolds, Vol. 1: Gauge Theory and Algebraic Surfaces Geometry of Low-Dimensional Manifolds, Vol. 1: Gauge Theory and Algebraic SurfacesCambridge University Press \| ISBN: 0521399785 \| 1991-01-25 \| PDF \| 276 pages \| 6 Mb These volumes are based on lecture courses and seminars given at the LMS D ...
	Science/Engineering Arithmetic of Higher Dimensional Algebraic Varieties Bjorn Poonen, Yuri Tschinkel ,
	Encyclopedias Algebraic Geometry II: Cohomology of Algebraic Varieties. Algebraic Surfaces (Encyclopaedia of Mathematical Sciences) Algebraic Geometry II: Cohomology of Algebraic Varieties. Algebraic Surfaces (Encyclopaedia of Mathematical Sciences)Springer \| 1995 \| ISBN: 0387546804, 3540546804 \| Pages: 262 \| DJVU \| 2.91 MBThis EMS volume consists of two parts. The firs ...
	Encyclopedias Algebraic Geometry I: Algebraic Curves Algebraic Manifolds and Schemes (Encyclopaedia of Mathematical Sciences) Algebraic Geometry I: Algebraic Curves Algebraic Manifolds and Schemes (Encyclopaedia of Mathematical Sciences)Springer \| 1994 \| ISBN: 0387519955 \| Pages: 307 \| DJVU \| 3.71 MBThis volume of the Encyclopaedia consists of two parts. The first ...
	Study Geometry of Higher Dimensional Algebraic Varieties Thomas Peternell, Joichi Miyaoka "Geometry of Higher Dimensional Algebraic Varieties"Birkhäuser Basel \| English \| 2004-02-04 \| ISBN: 3764354909 \| 228 pages \| DJVU \| 3,3 MBThe subject of this book is the classification theory and geometry o ...

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