Softcover ISBN: | 978-3-03719-210-8 |
Product Code: | EMSSERLEC/31 |
List Price: | $40.00 |
AMS Member Price: | $32.00 |
Softcover ISBN: | 978-3-03719-210-8 |
Product Code: | EMSSERLEC/31 |
List Price: | $40.00 |
AMS Member Price: | $32.00 |
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Book DetailsEMS Series of Lectures in MathematicsVolume: 31; 2020; 143 ppMSC: Primary 14
The classification of complex algebraic surfaces is a very classical subject which goes back to the old Italian school of algebraic geometry with Enriques and Castelnuovo. However, the exposition in the present book is modern and follows Mori's approach to the classification of algebraic varieties. The text includes the \(P_{12}\) theorem, the Sarkisov program in the surface case, and the Noether-Castelnuovo theorem in its classical version.
This book serves as a relatively quick and handy introduction to the theory of algebraic surfaces and is intended for readers with a good knowledge of basic algebraic geometry. Although an acquaintance with the basic parts of books like Principles of Algebraic Geometry by Griffiths and Harris or Algebraic Geometry by Hartshorne should be sufficient, the author strove to make the text as self-contained as possible, and, for this reason, a first chapter is devoted to a quick exposition of some preliminaries.
A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.
ReadershipGraduate students and researchers interested in algebraic geometry.
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The classification of complex algebraic surfaces is a very classical subject which goes back to the old Italian school of algebraic geometry with Enriques and Castelnuovo. However, the exposition in the present book is modern and follows Mori's approach to the classification of algebraic varieties. The text includes the \(P_{12}\) theorem, the Sarkisov program in the surface case, and the Noether-Castelnuovo theorem in its classical version.
This book serves as a relatively quick and handy introduction to the theory of algebraic surfaces and is intended for readers with a good knowledge of basic algebraic geometry. Although an acquaintance with the basic parts of books like Principles of Algebraic Geometry by Griffiths and Harris or Algebraic Geometry by Hartshorne should be sufficient, the author strove to make the text as self-contained as possible, and, for this reason, a first chapter is devoted to a quick exposition of some preliminaries.
A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.
Graduate students and researchers interested in algebraic geometry.