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Classification of Complex Algebraic ...
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Ciliberto, Ciro,
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Classification of Complex Algebraic Surfaces
Record Type:
Electronic resources : Monograph/item
Title/Author:
Classification of Complex Algebraic Surfaces/ Ciro Ciliberto
Author:
Ciliberto, Ciro,
Published:
Zuerich, Switzerland :European Mathematical Society Publishing House, : 2020,
Description:
1 online resource (143 pages)
Subject:
Algebraic geometry -
Online resource:
https://doi.org/10.4171/210
Online resource:
https://www.ems-ph.org/img/books/ciliberto_mini.jpg
ISBN:
9783037197103
Classification of Complex Algebraic Surfaces
Ciliberto, Ciro,
Classification of Complex Algebraic Surfaces
[electronic resource] /Ciro Ciliberto - Zuerich, Switzerland :European Mathematical Society Publishing House,2020 - 1 online resource (143 pages) - EMS Series of Lectures in Mathematics (ELM) ;2523-5176.
Restricted to subscribers:https://www.ems-ph.org/ebooks.php
Τhe 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 programme 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.
ISBN: 9783037197103
Standard No.: 10.4171/210doiSubjects--Topical Terms:
3480846
Algebraic geometry
Classification of Complex Algebraic Surfaces
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Τhe 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 programme 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.
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