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.
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Acknowledgments
This note was stimulated by the Strasbourg “groupe de travail” based on the monograph [26]. It is a pleasure to thank the participants of this groupe de travail for a very pleasant atmosphere and stimulating interactions.
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Laterveer, R. Surjectivity of cycle maps for singular varieties. Geom Dedicata 179, 265–278 (2015). https://doi.org/10.1007/s10711-015-0080-x
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DOI: https://doi.org/10.1007/s10711-015-0080-x