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VOL. 29 | 2000 Weighted Chern–Mather classes and Milnor classes of hypersurfaces

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

Published: 1 January 2000
First available in Project Euclid: 20 August 2018

zbMATH: 1077.14506
MathSciNet: MR1819626

Digital Object Identifier: 10.2969/aspm/02910001

Subjects:
Primary: 14H10, 14H30

Rights: Copyright © 2000 Mathematical Society of Japan

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Vol. 29 • 1 January 2000
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