On the coniveau of rationally connected threefolds

DOI10.2140/GT.2022.26.2731arXiv2010.05275MaRDI QIDQ6351015

Publication date: 11 October 2020

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.

Mathematics Subject Classification ID

(3)-folds (14J30) Algebraic cycles (14C25) (Co)homology theory in algebraic geometry (14F99) Rationality questions in algebraic geometry (14E08) Rationally connected varieties (14M22)

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