Inclusion-exclusion and Segre classes

Details Inclusion-exclusion and Segre classes Inclusion-exclusion and Segre classes

2002-03-13

arxiv.org/abs/math/0203122v1

Comm. Algebra 31 (2003), no. 8, 3619-3630

Mathematics

Algebraic Geometry

8 pages

Scientific paper

10.1081/AGB-120022435

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.

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