Abstract
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.
Information
Digital Object Identifier: 10.2969/aspm/02910001