Bloch-Kato conjecture for Z/2-coefficients and algebraic Morava K-theories, by Vladimir Voevodsky

In this paper we show that existence of algebrao-geometrical analogs of higher Morava K-theories would imply the Bloch-Kato conjecture for Z/2-coefficients. Our approach requires resolution of singularities, so at the present moment this result only holds in characteristic zero.


Vladimir Voevodsky <vladimir@math.harvard.edu>