Inclusion-exclusion and Segre classes

Abstract

We propose a variation of the notion of Segre class, by forcing a naive `inclusion-exclusion' principle to hold. The resulting class is computationally tractable, and is closely related to Chern-Schwartz-MacPherson classes. We deduce several general properties of the new class from this relation, and obtain an expression for the Milnor class of a scheme in terms of this class.

8 pages

References in corpus (2)

• Chern classes for singular hypersurfaces
• Computing characteristic classes of projective schemes

Cited by in corpus (3)

• Shadows of characteristic cycles, Verma modules, and positivity of Chern-Schwartz-MacPherson classes of Schubert cells
• Euler characteristics of general linear sections and polynomial Chern classes
• On the Chern classes of singular complete intersections