书目名称 | Vector Bundles on Complex Projective Spaces |
副标题 | With an Appendix by |
编辑 | Christian Okonek,Michael Schneider,Heinz Spindler |
视频video | |
概述 | 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, unsolve |
丛书名称 | Modern Birkhäuser Classics |
图书封面 |  |
描述 | 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 res |
出版日期 | Book 1980 |
关键词 | Algebra; Complex Geometry; Moduli Spaces; Monads; Stability; geometry; proof |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-0348-0151-5 |
isbn_softcover | 978-3-0348-0150-8 |
isbn_ebook | 978-3-0348-0151-5Series ISSN 2197-1803 Series E-ISSN 2197-1811 |
issn_series | 2197-1803 |
copyright | Springer Basel AG 1980 |