For a singular complete intersection X = X1 ∩ ... ∩ Xr in a complex manifold satisfying a transversality condition, the total Milnor class of X is expressed as a combination of the total Milnor and Schwartz-MacPherson classes of the components Xi.
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On the Chern classes of singular complete intersections
For a singular complete intersection X = X1 ∩ ... ∩ Xr in a complex manifold satisfying a transversality condition, the total Milnor class of X is expressed as a combination of the total Milnor and Schwartz-MacPherson classes of the components Xi.