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Classification of Complex Algebraic Surfaces
 
Ciro Ciliberto Universitá di Roma, Italy
A publication of European Mathematical Society
Classification of Complex Algebraic Surfaces
Softcover ISBN:  978-3-03719-210-8
Product Code:  EMSSERLEC/31
List Price: $40.00
AMS Member Price: $32.00
Please note AMS points can not be used for this product
Classification of Complex Algebraic Surfaces
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Classification of Complex Algebraic Surfaces
Ciro Ciliberto Universitá di Roma, Italy
A publication of European Mathematical Society
Softcover ISBN:  978-3-03719-210-8
Product Code:  EMSSERLEC/31
List Price: $40.00
AMS Member Price: $32.00
Please note AMS points can not be used for this product
  • Book Details
     
     
    EMS Series of Lectures in Mathematics
    Volume: 312020; 143 pp
    MSC: 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.

    Readership

    Graduate students and researchers interested in algebraic geometry.

  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 312020; 143 pp
MSC: 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.

Readership

Graduate students and researchers interested in algebraic geometry.

Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.