Holomorphic Vector Bundles and the Geometry of ℙn
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.
KeywordsExact Sequence Vector Bundle Line Bundle Complete Intersection Chern Class
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