Algebraic Surfaces by Lucian Badescu

Algebraic Surfaces by Lucian Badescu

The aim of the present monograph is to give a systematic exposition of the theory of algebraic surfaces emphasizing the interrelations between the various aspects of the theory: algebro-geometric, topological and transcendental. To achieve this aim, and still remain inside the limits of the allotted space, it was necessary to confine the exposition to topics which are absolutely fundamental. The present work therefore makes no claim to completeness, but it does, however, cover most of the central points of the theory. A presentation of the theory of surfaces, to be effective at all, must above all give the typical methods of proof used in the theory and their underlying ideas. It is especially true of algebraic geometry that in this domain the methods employed are at least as important as the results. The author has therefore avoided, as much as possible, purely formal accounts of results. The proofs given are of necessity condensed, for reasons of space, but no attempt has been made to condense them beyond the point of intelligibility. In many instances, due to exigencies of simplicity and rigor, the proofs given in the text differ, to a greater or less extent, from the proofs given in the original papers.

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)

SKU	Nicht verfügbar
ISBN 13	9780387986685
ISBN 10	0387986685
Titel	Algebraic Surfaces
Autor	Lucian Badescu
Serie	Universitext
Buchzustand	Nicht verfügbar
Bindungsart	Hardback
Verlag	Springer-Verlag New York Inc.
Erscheinungsjahr	2001-02-08
Seitenanzahl	259
Hinweis auf dem Einband	Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
Hinweis	Nicht verfügbar