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Holomorphic vector bundles and the geometry of ℙ n

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Part of the book series: Modern Birkhäuser Classics ((MBC))

Abstract

In this section we shall establish the notation and assemble the most important facts about the cohomology of projective spaces with coefficients in an analytic coherent sheaf. Then we shall recall the definition of the Chern classes of a vector bundle and for holomorphic bundles we shall interpret them in some cases as the dual classes of appropriate submanifolds.

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Correspondence to Christian Okonek .

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© 1980 Springer Basel AG

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Okonek, C., Schneider, M., Spindler, H. (1980). Holomorphic vector bundles and the geometry of ℙ n . In: Vector Bundles on Complex Projective Spaces. Modern Birkhäuser Classics. Springer, Basel. https://doi.org/10.1007/978-3-0348-0151-5_1

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  • DOI: https://doi.org/10.1007/978-3-0348-0151-5_1

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  • Publisher Name: Springer, Basel

  • Print ISBN: 978-3-0348-0150-8

  • Online ISBN: 978-3-0348-0151-5

  • eBook Packages: Springer Book Archive

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