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Igor R. Shafarevich Basic Algebraic Geometry 1

Basic Algebraic Geometry 1 Igor R. ShafarevichVarieties in Projective SpaceThird EditionBasic Algebraic Geometry 1 Igor R. ShafarevichBasic AlgebraicGeometry 1 Varieties in Projective SpaceThird EditionIgor R. ShafarevichAlgebra SectionSteklov Mathematical Instituteof the Russian Academy of SciencesMoscow, RussiaTranslatorMiles ReidMathematics InstituteUniversity of WarwickCoventry, UKISBN 978-3-642-37955-0 ISBN 978-3-642-37956-7 (eBook)DOI Heidelberg New York Dordrecht LondonLibrary of Congress Control Number: 2013945284 Mathematics Subject Classification (2010): 14-01 Translation of the 3rd Russian edition entitled Osnovy algebraicheskoj geometrii . MCCME,Moscow 2007, originally published in Russian in one volume Springer-Verlag Berlin Heidelberg 1977, 1994, 2013 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part ofthe material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation,broadcasting, reproduction on microfilms or in any other physical way, and transmission or informationstorage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodologynow known or hereafter developed.

Verlag provided me with a number of remarks from Western mathematicians on the translation of the first edition. In particular the translator of the second edition, M. Reid, contributed some improvements with his careful reading of the text. Other mathematicians who helped me in writing the book are mentioned in the preface to the first two ...

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