Arkiv för Matematik

Volume 57 (2019)

Number 1

Algebraic cycles and triple $K3$ burgers

Pages: 157 – 189



Robert Laterveer (Institut de Recherche Mathématique Avancée, CNRS, Université de Strasbourg, France)


We consider surfaces of geometric genus $3$ with the property that their transcendental cohomology splits into $3$ pieces, each piece coming from a $K3$ surface. For certain families of surfaces with this property, we can show there is a similar splitting on the level of Chow groups (and Chow motives).

Received 25 April 2017

Received revised 19 April 2018

Accepted 7 September 2018

Published 3 May 2019