Vector Bundles on Complex Projective Spaces (häftad)
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Format
Häftad (Paperback / softback)
Språk
Engelska
Antal sidor
239
Utgivningsdatum
2011-07-07
Upplaga
Corrected reprint of the 1988 Edition.
Förlag
Birkhauser Verlag AG
Medarbetare
Gelfand, S. I. (appendix)
Illustrationer
VIII, 239 p.
Dimensioner
229 x 152 x 15 mm
Vikt
295 g
Antal komponenter
1
Komponenter
1 Paperback / softback
ISBN
9783034801508
Vector Bundles on Complex Projective Spaces (häftad)

Vector Bundles on Complex Projective Spaces

With an Appendix by S. I. Gelfand

Häftad Engelska, 2011-07-07
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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 Seminaire 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 Gottingen 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.
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Övrig information

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 Osnabruck.

Innehållsförteckning

Holomorphic vector bundles and the geometry of ?n.- Stability and moduli spaces.