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ISBN: 0387983619 Year: 1998 Publisher: New York : Springer,
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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 theory, or 4-manifold topology. Many of the results on vector bundles should also be of interest to physicists studying string theory. 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, 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.
Surfaces, Algebraic --- Vector bundles --- Surfaces algebriques --- Fibrés vectoriels
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Vector bundles. --- Fibrés vectoriels. --- K-theorie --- Fibrés vectoriels.
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ISBN: 0805339485 Year: 1970 Publisher: New York : W. A. Benjamin,
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Mathematical physics. --- Physique mathématique. --- Vector bundles. --- Fibrés vectoriels. --- Physique mathématique. --- Fibrés vectoriels.
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Year: 1969 Publisher: Paris : Université d'Orsay, Faculté des Sciences,
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Year: 1969 Publisher: Paris : Hermann,
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Vector bundles. --- Invariants --- Fibrés vectoriels. --- Variétés de contact. --- Contact manifolds --- Geometrie differentielle --- Formes differentielles --- Fibrés vectoriels. --- Variétés de contact.
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ISBN: 9780821872925 Year: 2012 Volume: volume 220, number 1035 Publisher: Providence American Mathematical Society
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Ordered algebraic structures --- Vector bundles. --- Curves, Elliptic. --- Yang-Baxter equation. --- Fibrés vectoriels --- Courbes elliptiques --- Yang-Baxter, Équation de --- 51 <082.1> --- Mathematics--Series --- Fibrés vectoriels --- Yang-Baxter, Équation de --- Curves, Elliptic --- Vector bundles --- Yang-Baxter equation --- Baxter-Yang equation --- Factorization equation --- Star-triangle relation --- Triangle equation --- Mathematical physics --- Quantum field theory --- Fiber spaces (Mathematics) --- Elliptic curves --- Curves, Algebraic
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ISBN: 3764306467 Year: 1972 Publisher: Basel : Birkhäuser,
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Differential geometry. Global analysis --- Fiber bundles (Mathematics) --- Geometry, Differential --- Faisceaux fibrés (Mathématiques) --- Géométrie différentielle --- Geometry, Differential. --- Fiber bundles (Mathematics). --- Faisceaux fibrés (Mathématiques) --- Géométrie différentielle --- Vector bundles. --- Fibrés vectoriels. --- Géometrie différentielle --- Géometrie différentielle --- Analyse sur une variété --- Fibrés vectoriels.
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ISBN: 0824760107 Year: 1973 Publisher: New York, NY : M. Dekker,
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Harmonic analysis. Fourier analysis --- Harmonic analysis --- Lie groups --- Vector bundles --- Homogeneous spaces --- Analyse harmonique --- Groupes de Lie --- Fibrés vectoriels --- 517.986.6 --- Vector Bundles --- Fiber spaces (Mathematics) --- Groups, Lie --- Lie algebras --- Symmetric spaces --- Topological groups --- Spaces, Homogeneous --- Analysis (Mathematics) --- Functions, Potential --- Potential functions --- Banach algebras --- Calculus --- Mathematical analysis --- Mathematics --- Bessel functions --- Fourier series --- Harmonic functions --- Time-series analysis --- Harmonic analysis of functions of groups and homogeneous spaces --- Harmonic analysis. --- Homogeneous spaces. --- Lie groups. --- Vector bundles. --- 517.986.6 Harmonic analysis of functions of groups and homogeneous spaces --- Fibrés vectoriels --- Semisimple Lie groups --- Groupes de Lie semi-simples --- Espaces homogènes. --- Semisimple Lie groups. --- Groupes et algebres de lie --- Groupes de lie --- Representation des groupes de lie
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