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OverviewShafarevich's Basic Algebraic Geometry has been a classic and universally used introduction to the subject since its first appearance over 40 years ago. As the translator writes in a prefatory note, ``For all [advanced undergraduate and beginning graduate] students, and for the many specialists in other branches of math who need a liberal education in algebraic geometry, Shafarevich’s book is a must.'' The second volume is in two parts: Book II is a gentle cultural introduction to scheme theory, with the first aim of putting abstract algebraic varieties on a firm foundation; a second aim is to introduce Hilbert schemes and moduli spaces, that serve as parameter spaces for other geometric constructions. Book III discusses complex manifolds and their relation with algebraic varieties, Kähler geometry and Hodge theory. The final section raises an important problem in uniformising higher dimensional varieties that has been widely studied as the ``Shafarevich conjecture''. The style of Basic Algebraic Geometry 2 and its minimal prerequisites make it to a large extent independent of Basic Algebraic Geometry 1, and accessible to beginning graduate students in mathematics and in theoretical physics. Full Product DetailsAuthor: Igor R. Shafarevich , Miles ReidPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: 3rd ed. 2013 Dimensions: Width: 15.50cm , Height: 1.80cm , Length: 23.50cm Weight: 5.384kg ISBN: 9783642380099ISBN 10: 3642380093 Pages: 262 Publication Date: 10 September 2013 Audience: College/higher education , Undergraduate Format: Hardback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Language: English Table of ContentsReviewsFrom the reviews of the third edition: This is the English translation of the third edition of the second volume of the author's classic standard text 'Basic algebraic geometry' ... . a perfect first introduction to various aspects of both classic and modern algebraic geometry as a whole. ... the present second volume may serve as an excellent source for students and non-specialists to get themselves prepared for the study of more advanced books on abstract algebraic geometry, complex algebraic geometry, and moduli theory likewise. (Werner Kleinert, zbMATH, Vol. 1277, 2014) Author InformationIgor Shafarevich made fundamental contributions to several parts of mathematics including algebraic number theory, algebraic geometry and arithmetic algebraic geometry. Tab Content 6Author Website:Countries AvailableAll regions |
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