Algebraic Surfaces, 9781441931498
Paperback
The aim of this book is to present certain fundamental facts in the theory of algebraic surfaces, defined over an algebraically closed field lk of arbitrary characteristic. Around 1960, Kodaira [Kodl, Kod2] revived and simplified the classification of complex algebraic surfaces and extended it to th…

Algebraic Surfaces

$201.22

  • Paperback

    259 pages

  • Release Date

    19 November 2010

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Summary

The aim of this book is to present certain fundamental facts in the theory of algebraic surfaces, defined over an algebraically closed field lk of arbitrary characteristic. The book is based on a series of talks given by the author in the Algebraic Geometry seminar at the Faculty of Mathematics, University of Bucharest. The main goal is the classification of nonsingular projective surfaces (also called simply surfaces). In the context of complex algebraic varieties, the classification was obt…

Book Details

ISBN-13:9781441931498
ISBN-10:144193149X
Author:V. Masek, Lucian Badescu
Publisher:Springer-Verlag New York Inc.
Imprint:Springer-Verlag New York Inc.
Format:Paperback
Number of Pages:259
Release Date:19 November 2010
Weight:454g
Dimensions:235mm x 155mm
Series:Universitext
What They're Saying

Critics Review

From the reviews:

“This is an excellent textbook, very good for a graduate course in algebraic geometry. … The added exercises improve the quality of the book as a textbook. … many new references are added to the ones in the original edition. … I find very nice the last paragraph of every section, which contains bibliographic references; they reflect the author’s point of view on the history of these mathematical discoveries and they give useful hints for further readings, both to students and to advanced researchers.” (Marco Andreatta, Mathematical Reviews, Issue 2001 k)

“The present book is a translation of an earlier Romanian text and one might ask: why publish it anew? … first of all it is the only existing monograph treating classification of algebraic surfaces in all characteristics in a reasonably self-contained manner. Secondly, it is very carefully written and gives all the necessary references. … My conclusion is that the monograph is a good introductory text for self-study or for a graduate course for anyone with the required background … .” (C. A. M. Peters, Nieuf Archief voor Wiskunde, Vol. 5⁄3 (4), 2002)

“The book under review is the translation into English of the Romanian original … . As this excellent textbook on general algebraic surfaces has not suffered loss from its actuality … it finally has conquered its deserved place within the international literature … . The exposition is very clear, thorough, rigorous, elegant, and positively creative. This makes the book into a still very valuable source … . Without any doubt, this is one of the very best books on algebraic surfaces, now as before.” (Werner Kleinert, Zentralblatt MATH, Vol. 965, 2001)

“The main aim of this book is to present a completely algebraic approach to the Enriques classification of smooth projective surfaces defined over an algebraically closed field of arbitrary characteristics. This algebraic approach is one of thenovelties in comparison to existing textbooks on the subject.” (L’Enseignement Mathematique, Vol. 47 (1-2), 2001)

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