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The Hodge conjecture for rationally connected fivefolds

Donu Arapura
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Abstract

The Hodge conjecture is shown to hold for rationally connected fivefolds, or more generally for fivefolds for which the base of the maximal rationally connected fibration is at most 3 dimensional.

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Donu Arapura. 2005-02-18. The Hodge conjecture for rationally connected fivefolds. https://arxiv.org/abs/math/0502257

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