Algebraic Geometry I - Algebraic Curves, Algebraic Manifolds and Schemes (Encyclopaedia of Mathematical Sciences) - I. R. Shafarevich (1994)
ISBN 0387519955
Publisher Springer-Verlag
Publication Date March 1994
Format Hardcover (239 x 163 mm)
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.
Personal Details
Collection Status In Collection
Index 779
Read It Yes
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Product Details
LoC Classification QA565. A4413 1994
Cover Price $129.00
No. of Pages 307