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OverviewOpen algebraic surfaces are a synonym for algebraic surfaces that are not necessarily complete. An open algebraic surface is understood as a Zariski open set of a projective algebraic surface. There is a long history of research on projective algebraic surfaces, and there exists a beautiful Enriques-Kodaira classification of such surfaces. The research accumulated by Ramanujan, Abhyankar, Moh, and Nagata and others has established a classification theory of open algebraic surfaces comparable to the Enriques-Kodaira theory. This research provides powerful methods to study the geometry and topology of open algebraic surfaces. The theory of open algebraic surfaces is applicable not only to algebraic geometry, but also to other fields, such as commutative algebra, invariant theory, and singularities. This book contains a comprehensive account of the theory of open algebraic surfaces, as well as several applications, in particular to the study of affine surfaces. Prerequisite to understanding the text is a basic background in algebraic geometry. This volume is a continuation of the work presented in the author's previous publication, Algebraic Geometry, Volume 136 in the AMS series, Translations of Mathematical Monographs. Full Product DetailsAuthor: Masayoshi MiyanishiPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: v. 12 Dimensions: Width: 18.40cm , Height: 1.80cm , Length: 23.00cm Weight: 0.700kg ISBN: 9780821805046ISBN 10: 0821805045 Pages: 259 Publication Date: 30 November 2000 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: In Print This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsComplete algebraic surfaces Open algebraic surfaces Affine algebraic surfaces Bibliography Index.ReviewsAn indispensable reference work for experts in the field CMS Notes Author InformationTab Content 6Author Website:Countries AvailableAll regions |