Surjectivity of cycle maps for singular varieties

Abstract

A theorem of Jannsen asserts that if a smooth projective variety has injective cycle class maps, it has surjective cycle class maps. The object of this note is to present a version of Jannsen's theorem for singular quasi--projective varieties.

12 pages. Comments welcome. To appear in Geom. Dedicata (in slightly different version)

References in corpus (1)

• Correspondences and singular varieties

Cited by in corpus (1)

• Extensions of tautological rings and motivic structures in the cohomology of ${\overline{\mathcal{M}}}_{g,n}$