Weighted Chern-mather Classes and Milnor Classes of Hypersurfaces
نویسندگان
چکیده
We introduce a class extending the notion of Chern-Mather class to possibly nonreduced schemes, and use it to express the di erence between SchwartzMacPherson'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.
منابع مشابه
Chern Classes for Singular Hypersurfaces
We prove a simple formula for MacPherson’s Chern class of hypersurfaces in nonsingular varieties. The result highlights the relation between MacPherson’s class and other definitions of homology Chern classes of singular varieties, such as Mather’s Chern class and the class introduced by W. Fulton in [Fulton], 4.2.6. §0. Introduction 2 §1. Statements of the result 4 §1.1. MacPherson’s Chern clas...
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تاریخ انتشار 1998