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A note concerning the global 2 -forms on a x = 0 threefold

Published online by Cambridge University Press:  24 October 2008

P. M. H. Wilson
Affiliation:
Department of Pure Mathematics, University of Cambridge, Cambridge CB2 1SB, U.K.

Extract

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.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1985

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References

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