We generalize a result due to Bloch on the prorepresentability of Milnor
-cohomology
groups at the identity. In particular, we prove, for
a smooth,
proper, and geometrically connected variety defined over an algebraic field extension
, that
the functor
|
defined on Artin local
-algebras
with
,
is prorepresentable provided that certain Hodge numbers of
vanish.
|