书目名称 | Vector Bundles on Complex Projective Spaces |
编辑 | Christian Okonek,Michael Schneider,Heinz Spindler |
视频video | |
丛书名称 | Progress in Mathematics |
图书封面 |  |
描述 | These lecture notes are intended as an introduction to the methods of classification of holomorphic vector bundles over projective algebraic manifolds X. To be as concrete as possible we have mostly restricted ourselves to the case X = Fn. According to Serre (GAGA) the classification of holomorphic vector bundles is equivalent to the classification 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 funda mental results from these fields are summarized at the beginning. One of the authors gave a survey in the Seminaire Bourbaki 1978 on the current state of the classification of holomorphic vector bundles overFn. This lecture then served as the basis for a course of lectures in Gottingen in the Winter Semester 78/79. The present work is an extended and up-dated exposition of that course. Because of the introductory nature of this book we have had to leave out some difficult topics such as the restriction theorem of Barth. As compensation we have appended to each sec tion a paragraph in which historical remarks are made, further |
出版日期 | Book 1980 |
关键词 | algebra; algebraic geometry; geometry; Manifold; theorem |
版次 | 1 |
doi | https://doi.org/10.1007/978-1-4757-1460-9 |
isbn_softcover | 978-1-4757-1462-3 |
isbn_ebook | 978-1-4757-1460-9Series ISSN 0743-1643 Series E-ISSN 2296-505X |
issn_series | 0743-1643 |
copyright | Springer Science+Business Media New York 1980 |