Advanced Studies in Pure Mathematics
- Adv. Stud. Pure Math.
- Singularities – Sapporo 1998, J.-P. Brasselet and T. Suwa, eds. (Tokyo: Mathematical Society of Japan, 2000), 1 - 20
Weighted Chern–Mather classes and Milnor classes of hypersurfaces
We introduce a class extending the notion of Chern–Mather class to possibly nonreduced schemes, and use it to express the difference between Schwartz–MacPherson’s Chern class and the class of the virtual tangent bundle of a singular hypersurface of a nonsingular variety. Applications include constraints on the possible singularities of a hypersurface and on contacts of nonsingular hypersurfaces, and multiplicity computations.
Received: 11 November 1998
Revised: 18 March 1999
First available in Project Euclid: 20 August 2018
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Aluffi, Paolo. Weighted Chern–Mather classes and Milnor classes of hypersurfaces. Singularities – Sapporo 1998, 1--20, Mathematical Society of Japan, Tokyo, Japan, 2000. doi:10.2969/aspm/02910001. https://projecteuclid.org/euclid.aspm/1534789547