Differential Forms with Logarithmic Poles and Chern-schwartz-macpherson Classes of Singular Varieties

نویسندگان

  • Paolo Aluffi
  • PAOLO ALUFFI
چکیده

We express the Chern-Schwartz-MacPherson class of a possibly singular variety in terms of the total Chern class of a bundle of di erential 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. x

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تاریخ انتشار 1999