Articles liés à Algebraic Surfaces and Holomorphic Vector Bundles
Synopsis
The goal of this book is to provide a unified introduction to the study of algebraic surfaces and of holomorphic vector bundles on them. The author keeps the prerequisites to a good working knowledge of Hartshorne's book on algebraic geometry. The book will appeal to graduate students and researchers in the areas of algebraic geometry, gauge thoery, or 4-manifold topolgogy, as well as to physicists studying string theory.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
Présentation de l'éditeur
A novel feature of the book is its integrated approach to algebraic surface theory and the study of vector bundle theory on both curves and surfaces. While the two subjects remain separate through the first few chapters, they become much more tightly interconnected as the book progresses. Thus vector bundles over curves are studied to understand ruled surfaces, and then reappear in the proof of Bogomolov's inequality for stable bundles, which is itself applied to study canonical embeddings of surfaces via Reider's method. Similarly, ruled and elliptic surfaces are discussed in detail, before the geometry of vector bundles over such surfaces is analysed. Many of the results on vector bundles appear for the first time in book form, backed by many examples, both of surfaces and vector bundles, and over 100 exercises forming an integral part of the text. Aimed at graduates with a thorough first-year course in algebraic geometry, as well as more advanced students and researchers in the areas of algebraic geometry, gauge theory, or 4-manifold topology, many of the results on vector bundles will also be of interest to physicists studying string theory.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Algebraic Surfaces and Holomorphic Vector Bundles (Universitext).
Edité par
New York. Springer-Verlag., 1998
ISBN 10 : 0387983619
ISBN 13 : 9780387983615
Ancien ou d'occasion
Karton
Vendeur : Antiquariat Bernhardt, Kassel, Allemagne
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Karton. Etat : Sehr gut. Zust: Gutes Exemplar. 338 Seiten, Englisch 630g. N° de réf. du vendeur 494388
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Algebraic Surfaces and Holomorphic Vector Bundles
Edité par
Springer New York, 1998
ISBN 10 : 0387983619
ISBN 13 : 9780387983615
Neuf
Couverture rigide
Vendeur : moluna, Greven, Allemagne
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. One of the books primary assets is its method of presentation which makes the subject rather accessible The only prerequisite is a good working knowledge of elementary algebraic geometry Unified introduction to the study of algebraic surfaces and ve. N° de réf. du vendeur 5913271
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Algebraic Surfaces and Holomorphic Vector Bundles (Universitext)
Edité par
Springer, 1998
ISBN 10 : 0387983619
ISBN 13 : 9780387983615
Ancien ou d'occasion
Couverture rigide
Vendeur : Mark Henderson, Olathe, KS, Etats-Unis
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Hardcover. Etat : Near Fine. Book. N° de réf. du vendeur 051743
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Algebraic Surfaces and Holomorphic Vector Bundles (Universitext)
Vendeur : Ria Christie Collections, Uxbridge, Royaume-Uni
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Etat : New. In. N° de réf. du vendeur ria9780387983615_new
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Algebraic Surfaces and Holomorphic Vector Bundles
impression à la demandeVendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book covers the theory of algebraic surfaces and holomorphic vector bundles in an integrated manner. It is aimed at graduate students who have had a thorough first year course in algebraic geometry (at the level of Hartshorne's ALGEBRAIC GEOMETRY), as well as more advanced graduate students and researchers in the areas of algebraic geometry, gauge thoery, or 4-manifold topolgogy. Many of the results on vector bundles should also be of interest to physicists studying string theory. A novel feature ofthe book is its integrated approach to algebraic surface theory and the study of vector bundle theory on both curves and surfaces. While the two subjects remain separate through the first few chapters, and are studied in alternate chapters, they become much more tightly interconnected as the book progresses. Thus vector bundles over curves are studied to understand ruled surfaces, and then reappear in the proof of Bogomolov's inequality for stable bundles, which is itself applied to study canonical embeddings of surfaces via Reider's method. Similarly, ruled and elliptic surfaces are discussed in detail, and then the geometry of vector bundles over such surfaces is analyzed. Many of the results on vector bundles appear for the first time in book form, suitable for graduate students. The book also has a strong emphasis on examples, both of surfaces and vector bundles. There are over 100 exercises which form an integral part of the text. 348 pp. Englisch. N° de réf. du vendeur 9780387983615
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Algebraic Surfaces and Holomorphic Vector Bundles
Edité par
Springer New York, Springer US Jan 1998, 1998
ISBN 10 : 0387983619
ISBN 13 : 9780387983615
Neuf
Couverture rigide
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Buch. Etat : Neu. Neuware -This book is based on courses given at Columbia University on vector bun dles (1988) and on the theory of algebraic surfaces (1992), as well as lectures in the Park City lIAS Mathematics Institute on 4-manifolds and Donald son invariants. The goal of these lectures was to acquaint researchers in 4-manifold topology with the classification of algebraic surfaces and with methods for describing moduli spaces of holomorphic bundles on algebraic surfaces with a view toward computing Donaldson invariants. Since that time, the focus of 4-manifold topology has shifted dramatically, at first be cause topological methods have largely superseded algebro-geometric meth ods in computing Donaldson invariants, and more importantly because of and Witten, which have greatly sim the new invariants defined by Seiberg plified the theory and led to proofs of the basic conjectures concerning the 4-manifold topology of algebraic surfaces. However, the study of algebraic surfaces and the moduli spaces ofbundles on them remains a fundamen tal problem in algebraic geometry, and I hope that this book will make this subject more accessible. Moreover, the recent applications of Seiberg Witten theory to symplectic 4-manifolds suggest that there is room for yet another treatment of the classification of algebraic surfaces. In particular, despite the number of excellent books concerning algebraic surfaces, I hope that the half of this book devoted to them will serve as an introduction to the subject.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 344 pp. Englisch. N° de réf. du vendeur 9780387983615
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Algebraic Surfaces and Holomorphic Vector Bundles
Edité par
Springer New York, Springer US, 1998
ISBN 10 : 0387983619
ISBN 13 : 9780387983615
Neuf
Couverture rigide
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This book is based on courses given at Columbia University on vector bun dles (1988) and on the theory of algebraic surfaces (1992), as well as lectures in the Park City lIAS Mathematics Institute on 4-manifolds and Donald son invariants. The goal of these lectures was to acquaint researchers in 4-manifold topology with the classification of algebraic surfaces and with methods for describing moduli spaces of holomorphic bundles on algebraic surfaces with a view toward computing Donaldson invariants. Since that time, the focus of 4-manifold topology has shifted dramatically, at first be cause topological methods have largely superseded algebro-geometric meth ods in computing Donaldson invariants, and more importantly because of and Witten, which have greatly sim the new invariants defined by Seiberg plified the theory and led to proofs of the basic conjectures concerning the 4-manifold topology of algebraic surfaces. However, the study of algebraic surfaces and the moduli spaces ofbundles on them remains a fundamen tal problem in algebraic geometry, and I hope that this book will make this subject more accessible. Moreover, the recent applications of Seiberg Witten theory to symplectic 4-manifolds suggest that there is room for yet another treatment of the classification of algebraic surfaces. In particular, despite the number of excellent books concerning algebraic surfaces, I hope that the half of this book devoted to them will serve as an introduction to the subject. N° de réf. du vendeur 9780387983615
Quantité disponible : 1 disponible(s)
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Algebraic Surfaces and Holomorphic Vector Bundles
Edité par
Springer-Verlag New York Inc., 1998
ISBN 10 : 0387983619
ISBN 13 : 9780387983615
Neuf
Couverture rigide
Vendeur : THE SAINT BOOKSTORE, Southport, Royaume-Uni
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Hardback. Etat : New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 688. N° de réf. du vendeur C9780387983615
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Algebraic Surfaces and Holomorphic Vector Bundles
Vendeur : Books Puddle, New York, NY, Etats-Unis
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Etat : New. pp. 344. N° de réf. du vendeur 26319429
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Algebraic Surfaces and Holomorphic Vector Bundles
impression à la demandeVendeur : Biblios, Frankfurt am main, HESSE, Allemagne
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Etat : New. PRINT ON DEMAND pp. 344. N° de réf. du vendeur 18319439
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