Algebraic cycles and triple $K3$ burgers

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).

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Received 25 April 2017

Received revised 19 April 2018

Accepted 7 September 2018

Published 3 May 2019