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Open Algebraic Surfaces (CRM Monograph Series, nr. 12)

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en Limba Engleză Carte Hardback – 10 Jan 2002
Open 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 surfacescomparable 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'sprevious publication, Algebraic Geometry, Volume 136 in the AMS series, Translations of Mathematical Monographs.
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Specificații

ISBN-13: 9780821805046
ISBN-10: 0821805045
Pagini: 259
Dimensiuni: 184 x 260 x 18 mm
Greutate: 0.69 kg
Editura: American Mathematical Society
Colecția American Mathematical Society
Seria CRM Monograph Series

Locul publicării: Oxford, United States

Recenzii

An indispensable reference work for experts in the field