Geodesic
Chern classes of free hypersurface arrangements
Journal of Singularities, Tome 5 (2012), pp. 19-32

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The Chern class of the sheaf of logarithmic derivations along a simple normal crossing divisor equals the Chern-Schwartz-MacPherson class of the complement of the divisor. We extend this equality to more general divisors, which are locally analytically isomorphic to free hyperplane arrangements. 
@article{10_5427_jsing_2012_5b,
     author = {Paolo Aluffi},
     title = {Chern classes of free hypersurface arrangements},
     journal = {Journal of Singularities},
     pages = {19--32},
     publisher = {mathdoc},
     volume = {5},
     year = {2012},
     doi = {10.5427/jsing.2012.5b},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2012.5b/}
}
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Paolo Aluffi. Chern classes of free hypersurface arrangements. Journal of Singularities, Tome 5 (2012), pp. 19-32. doi: 10.5427/jsing.2012.5b

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