Algebraic cycles and triple K3 burgers

Abstract

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).

arXiv comment26 pages, to appear in Arkiv för Matematik, comments welcome