Mathematics – Algebraic Geometry
Scientific paper
1998-12-17
Singularities - Sapporo 1998, 1-20, Adv. Stud. Pure Math., 29, Kinokuniya, Tokyo, 2000
Mathematics
Algebraic Geometry
15 pages
Scientific paper
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.
Aluffi Paolo
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