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Book review of: I. R. Shafarevich, Basic algebraic geometry. Volume 1. Varieties in projective space, and Volume 2. Schemes and complex manifolds. Transl. from the Russian by Miles Reid. Third edition. (English) Zbl 1306.00013

MSC:
00A17 External book reviews
14Axx Foundations of algebraic geometry
14-02 Research exposition (monographs, survey articles) pertaining to algebraic geometry
14B05 Singularities in algebraic geometry
14Hxx Curves in algebraic geometry
14-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry
14C17 Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry
14A10 Varieties and morphisms
14C20 Divisors, linear systems, invertible sheaves
14E05 Rational and birational maps
14A15 Schemes and morphisms
14C05 Parametrization (Chow and Hilbert schemes)
14C30 Transcendental methods, Hodge theory (algebro-geometric aspects)
32Q15 Kähler manifolds
32Q30 Uniformization of complex manifolds
32Q99 Complex manifolds
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