Vector Bundles on Complex Projective Spaces: With an Appendix by S. I. Gelfand (Modern Birkhäuser Classics)
Okonek, Christian; Schneider, Michael; Spindler, Heinz
ISBN 10: 3034801505 ISBN 13: 9783034801508
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These lecture notes are intended as an introduction to the methods of classi?cation of holomorphic vector bundles over projective algebraic manifolds X. To be as concrete as possible we have mostly restricted ourselves to the case X = P . According to Serre (GAGA) the class- n cation of holomorphic vector bundles is equivalent to the classi?cation of algebraic vector bundles. Here we have used almost exclusively the language of analytic geometry. The book is intended for students who have a basic knowledge of analytic and (or) algebraic geometry. Some fundamental results from these ?elds are summarized at the beginning. One of the authors gave a survey in the S´eminaire Bourbaki 1978 on the current state of the classi?cation of holomorphic vector bundles over P . This lecture then served as the basis for a course of lectures n in G¨ottingen in the Winter Semester 78/79. The present work is an extended and up-dated exposition of that course. Because of the - troductory nature of this book we have had to leave out some di?cult topics such as the restriction theorem of Barth. As compensation we have appended to each section a paragraph in which historical remarks are made, further results indicated and unsolved problems presented. The book is divided into two chapters. Each chapter is subdivided into several sections which in turn are made up of a number of pa- graphs. Each section is preceded by a short description of its contents.
About the Author: Christian Okonek is Professor for mathematics at the University of Zurich. Michael Schneider was Professor for algebraic geometry at the University of Bayreuth, deceased in 1997. Heinz Spindler is Professor for mathematics at the University of Osnabrück.
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Title: Vector Bundles on Complex Projective Spaces:...
Publisher: Birkhäuser
Publication Date: 2011
Binding: Soft cover
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Concrete and elementary introduction to classification of stable vector bundles Readable by students with basic knowledge of analytic - or algebraic geometry Many examples, historical remarks, unsolved problemsChristian Okonek is Pr. Seller Inventory # 4318128
Vector Bundles on Complex Projective Spaces | With an Appendix by S. I. Gelfand
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Taschenbuch. Condition: Neu. Vector Bundles on Complex Projective Spaces | With an Appendix by S. I. Gelfand | Christian Okonek (u. a.) | Taschenbuch | viii | Englisch | 2011 | Birkhäuser | EAN 9783034801508 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Seller Inventory # 107052541
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - These lecture notes are intended as an introduction to the methods of classi cation of holomorphic vector bundles over projective algebraic manifolds X. To be as concrete as possible we have mostly restricted ourselves to the case X = P . According to Serre (GAGA) the class- n cation of holomorphic vector bundles is equivalent to the classi cation of algebraic vector bundles. Here we have used almost exclusively the language of analytic geometry. The book is intended for students who have a basic knowledge of analytic and (or) algebraic geometry. Some fundamental results from these elds are summarized at the beginning. One of the authors gave a survey in the S eminaire Bourbaki 1978 on the current state of the classi cation of holomorphic vector bundles over P . This lecture then served as the basis for a course of lectures n in G ottingen in the Winter Semester 78/79. The present work is an extended and up-dated exposition of that course. Because of the - troductory nature of this book we have had to leave out some di cult topics such as the restriction theorem of Barth. As compensation we have appended to each section a paragraph in which historical remarks are made, further results indicated and unsolved problems presented. The book is divided into two chapters. Each chapter is subdivided into several sections which in turn are made up of a number of pa- graphs. Each section is preceded by a short description of its contents. Seller Inventory # 9783034801508
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Vector Bundles on Complex Projective Spaces
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -These lecture notes are intended as an introduction to the methods of classi cation of holomorphic vector bundles over projective algebraic manifolds X. To be as concrete as possible we have mostly restricted ourselves to the case X = P . According to Serre (GAGA) the class- n cation of holomorphic vector bundles is equivalent to the classi cation of algebraic vector bundles. Here we have used almost exclusively the language of analytic geometry. The book is intended for students who have a basic knowledge of analytic and (or) algebraic geometry. Some fundamental results from these elds are summarized at the beginning. One of the authors gave a survey in the S¿eminaire Bourbaki 1978 on the current state of the classi cation of holomorphic vector bundles over P . This lecture then served as the basis for a course of lectures n in G¿ottingen in the Winter Semester 78/79. The present work is an extended and up-dated exposition of that course. Because of the - troductory nature of this book we have had to leave out some di cult topics such as the restriction theorem of Barth. As compensation we have appended to each section a paragraph in which historical remarks are made, further results indicated and unsolved problems presented. The book is divided into two chapters. Each chapter is subdivided into several sections which in turn are made up of a number of pa- graphs. Each section is preceded by a short description of its contents.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 248 pp. Englisch. Seller Inventory # 9783034801508
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Vector Bundles on Complex Projective Spaces
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -These lecture notes are intended as an introduction to the methods of classi cation of holomorphic vector bundles over projective algebraic manifolds X. To be as concrete as possible we have mostly restricted ourselves to the case X = P . According to Serre (GAGA) the class- n cation of holomorphic vector bundles is equivalent to the classi cation of algebraic vector bundles. Here we have used almost exclusively the language of analytic geometry. The book is intended for students who have a basic knowledge of analytic and (or) algebraic geometry. Some fundamental results from these elds are summarized at the beginning. One of the authors gave a survey in the S eminaire Bourbaki 1978 on the current state of the classi cation of holomorphic vector bundles over P . This lecture then served as the basis for a course of lectures n in G ottingen in the Winter Semester 78/79. The present work is an extended and up-dated exposition of that course. Because of the - troductory nature of this book we have had to leave out some di cult topics such as the restriction theorem of Barth. As compensation we have appended to each section a paragraph in which historical remarks are made, further results indicated and unsolved problems presented. The book is divided into two chapters. Each chapter is subdivided into several sections which in turn are made up of a number of pa- graphs. Each section is preceded by a short description of its contents. 248 pp. Englisch. Seller Inventory # 9783034801508