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Basic Algebraic Geometry 2: Schemes and Complex Manifolds, 2nd
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Igor R. Shafarevich,M. Reid
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Springer-Verlag
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2 edition
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286
ISBN
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0387575545
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Volume 2: Schemes and Complex Manifolds, covers generalizations in two different directions of the affine and projective varieties that form the material for the first volume. Discusses the origins of algebraic geometry. Paper. DLC: Geometry - Algebraic.
5 Schemes
6 Varieties
7 The Topology of Algebraic Varieties and Complex Manifolds
8 Complex Manifolds
9 Uniformisation
Historical Sketch
References
Index
"The first book in this two volume introduction to algebraic geometry was used as the primary textbook for my algebraic geometry class. It was amazing. Easily the most readable (oh, Hartshorne why are you so heartless?) of all the algebraic algebraic geometry I own (which is quite a few). I finally managed to secure the second volume after several fruitless searches and order cancellations (Amazon didn't have it in stock for months). Though I'm only starting to get into this one and am basing this recommendation mostly on my experience with the first volume, I still think that Shafarevich writes the most accessible introduction to schemes that I've ever read."
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