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Classification of Complex Algebraic Surfaces
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Catalogue Information
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Details
Title
Classification of Complex Algebraic Surfaces ([EBook] /) / Ciro Ciliberto
Author
Ciliberto, Ciro
Publication
Zuerich, Switzerland : : European Mathematical Society Publishing House, , 2020
Physical Details
1 online resource (143 pages)
Series
EMS Series of Lectures in Mathematics (ELM)
2523-5176
ISBN
9783037197103
Summary Note
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.:
Mode of acces to digital resource
Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
https://doi.org/10.4171/210
See Also
https://www.ems-ph.org/img/books/ciliberto_mini.jpg
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Algebraic Geometry
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