  We compute the geometric part of algebraic cobordism over Dedekind domains of
mixed characteristic after inverting the positive residue characteristics and
prove cases of a Conjecture of Voevodsky relating this geometric part to the
Lazard ring for regular local bases. The method is by analyzing the slice tower
of algebraic cobordism, relying on the Hopkins-Morel isomorphism from the
quotient of the algebraic cobordism spectrum by the generators of the Lazard
ring to the motivic Eilenberg-MacLane spectrum, again after inverting the
positive residue characteristics.
