Displaying similar documents to “On Stable and Uniform Rank-2 Vector Bundles on P2 in Characteristic p.”

On Buchsbaum bundles on quadric hypersurfaces

Edoardo Ballico, Francesco Malaspina, Paolo Valabrega, Mario Valenzano (2012)

Open Mathematics

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Let E be an indecomposable rank two vector bundle on the projective space ℙn, n ≥ 3, over an algebraically closed field of characteristic zero. It is well known that E is arithmetically Buchsbaum if and only if n = 3 and E is a null-correlation bundle. In the present paper we establish an analogous result for rank two indecomposable arithmetically Buchsbaum vector bundles on the smooth quadric hypersurface Q n ⊂ ℙn+1, n ≥ 3. We give in fact a full classification and prove that n must...