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AuthorShafarevich, Igor R. author
TitleBasic Algebraic Geometry 2 [electronic resource] / by Igor R. Shafarevich
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1994
Edition Second, Revised and Expanded Edition
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Descript XVI, 270 p. online resource


Shafarevich Basic Algebraic Geometry 2 The second edition of Shafarevich's introduction to algebraic geometry is in two volumes. The second volume covers schemes and complex manifolds, generalisations in two different directions of the affine and projective varieties that form the material of the first volume. Two notable additions in this second edition are the section on moduli spaces and representable functors, motivated by a discussion of the Hilbert scheme, and the section on Kรคhler geometry. The book ends with a historical sketch discussing the origins of algebraic geometry. From the Zentralblatt review of this volume: "... one can only respectfully repeat what has been said about the first part of the book (...): a great textbook, written by one of the leading algebraic geometers and teachers himself, has been reworked and updated. As a result the author's standard textbook on algebraic geometry has become even more important and valuable. Students, teachers, and active researchers using methods of algebraic and complex-analytic geometry in different areas of mathematics and theoretical physics should be grateful to the author for his renewed service to the mathematical community."


Table of Contents Volume 2 -- BOOK 2. Schemes and Varieties -- V. Schemes -- VI. Varieties -- Book 3. Complex Algebraic Varieties and Complex Manifolds -- VII. The Topology of Algebraic Varieties -- VIII. Complex Manifolds -- IX. Uniformisation -- Historical Sketch -- References -- References for the Historical Sketch

Mathematics Algebraic geometry Physics Mathematics Algebraic Geometry Theoretical Mathematical and Computational Physics


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