Algebraic Geometry I: Algebraic Curves, Algebraic Manifolds and Schemes

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Игорь Ростиславович Шафаревич
Springer-Verlag, 1994 - Curves, Algebraic - 307 pages
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.

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Contents

Riemann Surfaces and Algebraic Curves
5
Introduction by I R Shafarevich
10
Riemann Surfaces
16
Copyright

9 other sections not shown

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About the author (1994)

Igor Rostislavovich Shafarevich was born in Zhitomir, Ukraine on June 3, 1923. He graduated from Moscow State University with a specialty in astronomy. He taught at Moscow State University for more than 30 years. He was an internationally renowned mathematician who played a central role in the anti-Soviet dissident movement during the Cold War. His textbooks on algebraic geometry were translated into English and regarded as classics in the field. He also wrote The Socialist Phenomenon and contributed essays to From Under the Rubble. He died on February 19, 2017 at the age of 93.

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