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On the cohomology of rank two vector bundles on P2 and a theorem of Chiantini and Valabrega
Published 3 Jan 2019 in math.AG | (1901.00807v1)
Abstract: We show that a normalized rank two vector bundle, E, on P2 splits if and only if h1(E(-1)) = 0. Using this fact we give another proof of a theorem of Chiantini and Valabrega. Finally we describe the normalized bundles with h1(E(-1)) <= 4.
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