The Bloch-Kato conjecture and a theorem of Suslin-Voevodsky, by Thomas Geisser and Marc Levine

We give a new proof of the theorem of Suslin-Voevodsky relating the Bloch-Kato conjectures to the Beilinson-Lichtenbaum conjectures, where motivic cohomology is defined using Bloch's cycle complexes. The proof does not require resolution of singularities, and so extends the Suslin-Voevodsky result to positive characteristics.

Thomas Geisser <>
Marc Levine <>