On bordisms of real algebraic M-varieties

Any morphism of nonsingular complete real algebraic varieties F: Y → X determines a holomorphic mapping of the sets of complex points F _?: Y (?) → X(?) as well as a differentiable mapping of the sets of real points F _?: Y(?) → X(?). These two mappings determine classes of nonoriented bordisms F _?] ∈ MO_2m (X((?)), F _?] ∈ M O_m (X(?)), where m = dim Y. The paper describes relationship between these two classes of bordisms.