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Published online by Cambridge University Press: 24 October 2008
Let V be a smooth complex algebraic threefold with k(V) = 0. Consider the space of holomorphic 2-forms on V, and let s denote the rank of the subsheaf of generated by these global forms. It was conjectured by Uenoin[8] that ≤ 3-here as always, hi denotes the dimension of the corresponding cohomology group Hi.