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This book 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.
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Previews available in: English
Showing 3 featured editions. View all 3 editions?
Edition | Availability |
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1
Algebraic geometry I: complex projective varieties
1995, Springer
in English
3540586571 9783540586579
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2
Algebraic Geometry I: Algebraic Curves. Algebraic Manifolds and Schemes (Encyclopaedia of Mathematical Sciences)
January 1994, Springer
Hardcover
in English
- 1st ed. 1994. 2nd printing edition
3540519955 9783540519959
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3
Algebraic geometry I: complex projective varieties
1976, Springer-Verlag
in English
0387076034 9780387076034
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Book Details
Edition Notes
Bibliography: p. [181]-182.
Includes index.
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