On K_1 and K_2 of algebraic surfaces

Stefan Müller-Stach, Shuji Saito, Alberto Collino

We study the higher Chow groups $C{H}^2(X,1)$ and $C{H}^3(X,2)$ of smooth, projective algebraic surfaces over a field of char 0. We develop a theoretical framework to study them by usi…