Abstract
We express the Chern-Schwartz-MacPherson class of a possibly singular variety in terms of the total Chern class of a bundle of differential forms with logarithmic poles. As an application, we obtain a formula for the Chern-Schwartz-MacPherson class of a hypersurface of a nonsingular variety, in terms of the Chern-Mather class of a suitable sheaf.
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Schedule a callMore From: Comptes Rendus de l'Academie des Sciences Series I Mathematics
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