Letter to Soule, 1982, by Alexander Beilinson

This is a copy of the letter from Beilinson to Soule dated January 11, 1982, posted with his permission, in which he states his conjectures about the existence of motivic cohomology groups for schemes, provided as hypercohomology groups of a complex of abelian groups and related to algebraic K-theory by a motivic spectral sequence analogous to the Atiyah-Hirzebruch spectral sequence in topology.

Alexander Beilinson <sasha@math.uchicago.edu>