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On the coniveau of rationally connected threefolds (2010.05275v3)
Published 11 Oct 2020 in math.AG
Abstract: We prove that the integral cohomology modulo torsion of a rationally connected threefold comes from the integral cohomology of a smooth curve via the cylinder homomorphism associated to a family of $1$-cycles. Equivalently, it is of strong coniveau 1 in the sense of Benoist-Ottem.
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