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Titlebook: Vector Bundles on Complex Projective Spaces; Christian Okonek,Michael Schneider,Heinz Spindler Book 1980 Springer Science+Business Media N

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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Titlebook: Vector Bundles on Complex Projective Spaces;  Christian Okonek,Michael Schneider,Heinz Spindler Book 1980 Springer Science+Business Media N
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
doihttps://doi.org/10.1007/978-1-4757-1460-9
isbn_softcover978-1-4757-1462-3
isbn_ebook978-1-4757-1460-9Series ISSN 0743-1643 Series E-ISSN 2296-505X
issn_series 0743-1643
copyrightSpringer Science+Business Media New York 1980
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Stability and Moduli Spaces,rsion-free, normal and reflexive sheaves which we shall need later. Then we define stable and semistable torsion-free sheaves in the sense of Mumford and Takemoto and compare this concept of stability with that of .ℙ. (1)-stability as introduced by Gieseker and Maruvama. In a final section we invest
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Book 1980 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
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Book 1980is 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
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0743-1643 lt 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, further978-1-4757-1462-3978-1-4757-1460-9Series ISSN 0743-1643 Series E-ISSN 2296-505X
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