Synopsis
This book is a revised and expanded new edition of the first four chapters of Shafarevich’s well-known introductory book on algebraic geometry. Besides correcting misprints and inaccuracies, the author has added plenty of new material, mostly concrete geometrical material such as Grassmannian varieties, plane cubic curves, the cubic surface, degenerations of quadrics and elliptic curves, the Bertini theorems, and normal surface singularities.
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Review
From the reviews: "To my best knowledge, only this book manages to describe so many advanced constructions while still being accessible for researchers outside the field of algebraic geometry. This book is indeed a tremendous achievement." (Newsletter on Computational and Applied Mathematics)
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Basic Algebraic Geometry 1: Varieties in Projective Space
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Basic Algebraic Geometry 1 _ Varieties in Projective Space
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Springer-Verlag, Berlin, 1994
ISBN 10: 3540548122
ISBN 13: 9783540548126
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Basic Algebraic Geometry 1 : Varieties in Projective Space
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Basic Algebraic Geometry 1: Varieties in Projective Space
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Berlin. Springer Verlag., 1994
ISBN 10: 3540548122
ISBN 13: 9783540548126
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