show/hide this revision's text 2 added 269 characters in body; deleted 22 characters in body

There

For rational surfaces, there is the paper by Colliot-Thélène Hilbert's Theorem 90 for K2, with Application to the Chow Groups of Rational Surfaces.

For K3 surfaces, there is the paper by Beauville and Voisin paper On the Chow ring of a K3 surface.

show/hide this revision's text 1

There is the paper by Beauville and Voisin paper On the Chow ring of a K3 surface