Technical Algebraic Geometry I: Algebraic Curves. Algebraic Manifolds and Schemes (3540519955)

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Algebraic Geometry I: Algebraic Curves. Algebraic Manifolds and Schemes

This volume of the Encyclopaedia consists of two parts. The first is devoted to the theory of curves, which are treated from both the analytic and algebraic points of view. Starting with the basic notions of the theory of Riemann surfaces the reader is lead into an exposition covering the Riemann-Roch theorem, Riemann's fundamental existence theorem, uniformization and automorphic functions.

The algebraic material also treats algebraic curves over an arbitrary field and the connection between algebraic curves and Abelian varieties. The second part is an introduction to higher-dimensional algebraic geometry. The author deals with algebraic varieties, the corresponding morphisms, the theory of coherent sheaves and, finally, the theory of schemes. This book is a very readable introduction to algebraic geometry and will be immensely useful to mathematicians working in algebraic geometry and complex analysis and especially to graduate students in these fields.

D. Coray (Translator), V.N. Shokurov (Translator).

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	Science/Engineering Algebraic Geometry 1: From Algebraic Varieties to Schemes Kenji Ueno " Algebraic Geometry 1: From Algebraic Varieties to Schemes" American Mathematical Society \| 1999-11 \| ISBN: 0821808621 \| 168 pages \| Djvu \| 1,4 MB This is the first of three volumes on algebraic geometry. The second volume, ...
	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 ...
	Science/Engineering Basic Algebraic Geometry 2: Schemes and Complex Manifolds Basic Algebraic Geometry 2: Schemes and Complex Manifolds Publisher: Springer \| Pages: 269 \| 1996-03-18 \| ISBN 3540575545 \| DJVU \| 3 MBThe second volume of Shafarevich's introductory book on algebraic varieties and complex manifolds. ...
	Nonfiction Algebraic Curves: an Introduction to Algebraic Geometry The aim of these notes is to develop the theory of algebraic curves from the viewpoint of modern algebraic geometry, but without excessive prerequisites. We have assumed that the reader is familiar with some basic properties of rings, ideal ...
	Mathematics Algebraic Geometry III: Complex Algebraic Varieties. Algebraic Curves and Their Jacobians Parshin A.N., Shafarevich I.R (Ed.) ¡°Algebraic Geometry III: Complex Algebraic Varieties. Algebraic Curves and Their Jacobians" Springer \| 1997-12-16 \| ISBN: 3540546812 \| Djvu \| 278 pages \| 2,4 Mb The first contribution of this EMS vo ...

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	Science/Engineering Algebraic Geometry 1: From Algebraic Varieties to Schemes Kenji Ueno " Algebraic Geometry 1: From Algebraic Varieties to Schemes" American Mathematical Society \| 1999-11 \| ISBN: 0821808621 \| 168 pages \| Djvu \| 1,4 MB This is the first of three volumes on algebraic geometry. The second volume, ...
	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 ...
	Science/Engineering Basic Algebraic Geometry 2: Schemes and Complex Manifolds Basic Algebraic Geometry 2: Schemes and Complex Manifolds Publisher: Springer \| Pages: 269 \| 1996-03-18 \| ISBN 3540575545 \| DJVU \| 3 MBThe second volume of Shafarevich's introductory book on algebraic varieties and complex manifolds. ...
	Nonfiction Algebraic Curves: an Introduction to Algebraic Geometry The aim of these notes is to develop the theory of algebraic curves from the viewpoint of modern algebraic geometry, but without excessive prerequisites. We have assumed that the reader is familiar with some basic properties of rings, ideal ...
	Mathematics Algebraic Geometry III: Complex Algebraic Varieties. Algebraic Curves and Their Jacobians Parshin A.N., Shafarevich I.R (Ed.) ¡°Algebraic Geometry III: Complex Algebraic Varieties. Algebraic Curves and Their Jacobians" Springer \| 1997-12-16 \| ISBN: 3540546812 \| Djvu \| 278 pages \| 2,4 Mb The first contribution of this EMS vo ...

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