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Algebraic Surfaces - Lucian Silvestru Badescu
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Lucian Silvestru Badescu:

Algebraic Surfaces - neues Buch

ISBN: 9781441931498

ID: 85c771e9056ea21c859976377a832a82

Algebraic Surfaces 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 obtained by Enriques and Castelnuovo. Around 1960, Kodaira [Kodl, Kod2] revived and simplified the classification of complex algebraic surfaces and extended it to the case of compact analytic surfaces. The problem of classifying surfaces in arbitrary characteristic remained open. The first step in this direction was the purely algebraic proof (valid in arbitrary characteristic), due to Zariski [Zarl, Zar2], of Castelnuovo's criterion of rationality. Then Mumford [Mum3, Mum4] introduced several new ideas, and the classification of surfaces in positive characteristic be­ came possible. Finally, Bombieri and Mumford [BMl, BM2] completed the classification of surfaces in arbitrary characteristic. Their result was the following: The same types of surfaces that exist in the case when lk is the complex field arise in the general case, if one sets aside certain pathologies that arise only in characteristic 2 or 3. Bücher / Fremdsprachige Bücher / Englische Bücher 978-1-4419-3149-8, Springer

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Algebraic Surfaces - Lucian Silvestru Badescu
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
(*)

Lucian Silvestru Badescu:

Algebraic Surfaces - neues Buch

ISBN: 9781441931498

ID: 118695168

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 obtained by Enriques and Castelnuovo. Around 1960, Kodaira [Kodl, Kod2] revived and simplified the classification of complex algebraic surfaces and extended it to the case of compact analytic surfaces. The problem of classifying surfaces in arbitrary characteristic remained open. The first step in this direction was the purely algebraic proof (valid in arbitrary characteristic), due to Zariski [Zarl, Zar2], of Castelnuovo´s criterion of rationality. Then Mumford [Mum3, Mum4] introduced several new ideas, and the classification of surfaces in positive characteristic be­ came possible. Finally, Bombieri and Mumford [BMl, BM2] completed the classification of surfaces in arbitrary characteristic. Their result was the following: The same types of surfaces that exist in the case when lk is the complex field arise in the general case, if one sets aside certain pathologies that arise only in characteristic 2 or 3. Algebraic Surfaces Buch (fremdspr.) Bücher>Fremdsprachige Bücher>Englische Bücher, Springer

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Algebraic Surfaces - Badescu, Lucian
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Badescu, Lucian:
Algebraic Surfaces - Taschenbuch

2010

ISBN: 9781441931498

[ED: Softcover], [PU: Springer, Berlin], This book presents fundamentals from the theory of algebraic surfaces, including areas such as rational singularities of surfaces and their relation with Grothendieck duality theory, numerical criteria for contractibility of curves on an algebraic surface, and the problem of minimal models of surfaces. In fact, the classification of surfaces is the main scope of this book and the author presents the approach developed by Mumford and Bombieri. Chapters also cover the Zariski decomposition of effective divisors and graded algebras. 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 characteristic. This algebraic approach is one of the novelties of this book among the other modern textbooks devoted to this subject. Two chapters on surface singularities are also included. The book can be useful as a textbook for a graduate course on surfaces, for researchers or graduate students in algebraic geometry, as well as those mathematicians working in algebraic geometry or related fields. 2010. xi, 259 S. 15 SW-Abb. 235 mm Versandfertig in 3-5 Tagen, [SC: 0.00], Neuware, gewerbliches Angebot

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Algebraic Surfaces - Lucian Badescu
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
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Lucian Badescu:
Algebraic Surfaces - Taschenbuch

2010, ISBN: 144193149X

ID: 10407321826

[EAN: 9781441931498], Neubuch, [PU: Springer Okt 2010], This item is printed on demand - Print on Demand Titel. - This book presents fundamentals from the theory of algebraic surfaces, including areas such as rational singularities of surfaces and their relation with Grothendieck duality theory, numerical criteria for contractibility of curves on an algebraic surface, and the problem of minimal models of surfaces. In fact, the classification of surfaces is the main scope of this book and the author presents the approach developed by Mumford and Bombieri. Chapters also cover the Zariski decomposition of effective divisors and graded algebras.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 characteristic. This algebraic approach is one of the novelties of this book among the other modern textbooks devoted to this subject. Two chapters on surface singularities are also included. The book can be useful as a textbook for a graduate course on surfaces, for researchers or graduate students in algebraic geometry, as well as those mathematicians working in algebraic geometry or related fields. 272 pp. Englisch

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Algebraic Surfaces (Softcover reprint of hardcover 1st ed. 2001) - Lucian Badescu, Vladimir Masek
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Lucian Badescu, Vladimir Masek:
Algebraic Surfaces (Softcover reprint of hardcover 1st ed. 2001) - Taschenbuch

2001, ISBN: 144193149X

ID: 5962555489

[EAN: 9781441931498], Neubuch, [PU: Springer-Verlag New York Inc.], BRAND NEW PRINT ON DEMAND., Algebraic Surfaces (Softcover reprint of hardcover 1st ed. 2001), Lucian Badescu, Vladimir Masek, This book presents fundamentals from the theory of algebraic surfaces, including areas such as rational singularities of surfaces and their relation with Grothendieck duality theory, numerical criteria for contractibility of curves on an algebraic surface, and the problem of minimal models of surfaces. In fact, the classification of surfaces is the main scope of this book and the author presents the approach developed by Mumford and Bombieri. Chapters also cover the Zariski decomposition of effective divisors and graded algebras.

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Details zum Buch
Algebraic Surfaces
Autor:

Badescu, Lucian

Titel:

Algebraic Surfaces

ISBN-Nummer:

144193149X

This book presents fundamentals from the theory of algebraic surfaces, including areas such as rational singularities of surfaces and their relation with Grothendieck duality theory, numerical criteria for contractibility of curves on an algebraic surface, and the problem of minimal models of surfaces. In fact, the classification of surfaces is the main scope of this book and the author presents the approach developed by Mumford and Bombieri. Chapters also cover the Zariski decomposition of effective divisors and graded algebras.

Detailangaben zum Buch - Algebraic Surfaces


EAN (ISBN-13): 9781441931498
ISBN (ISBN-10): 144193149X
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2010
Herausgeber: Springer-Verlag GmbH
272 Seiten
Gewicht: 0,415 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 26.04.2011 13:08:53
Buch zuletzt gefunden am 31.07.2016 14:23:40
ISBN/EAN: 144193149X

ISBN - alternative Schreibweisen:
1-4419-3149-X, 978-1-4419-3149-8

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