On the coniveau of rationally connected threefolds

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.

Final version to appear in Geometry and Topology

References in corpus (1)

• Two coniveau filtrations

Cited by in corpus (1)

• Factorization of the Abel-Jacobi maps