Coniveau 2 complete intersections and effective cones

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Authors
Voisin, Claire
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Abstract
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The goal of this paper is first of all to propose a strategy to attack the generalized Hodge conjecture for coniveau 2 complete intersections, and secondly to state a conjecture concerning the cones of effective cycle classes in intermediate dimensions. Our main results show that the generalized Hodge conjecture for coniveau 2 complete intersections would follow from a particular case of this effectiveness conjecture.
Keywords
Mathematics - Algebraic Geometry, 14C25, 14C30, 14M10, 14M15
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