Coniveau 2 complete intersections and effective cones

Details Coniveau 2 complete intersections and effective cones Coniveau 2 complete intersections and effective cones

2008-09-04

arxiv.org/abs/0809.0870v1

Mathematics

Algebraic Geometry

Scientific paper

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.

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