arXiv Analytics

Sign in

arXiv:math/0203122 [math.AG]AbstractReferencesReviewsResources

Inclusion-exclusion and Segre classes

Paolo Aluffi

Published 2002-03-13Version 1

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.

Comments: 8 pages
Journal: Comm. Algebra 31 (2003), no. 8, 3619-3630
Categories: math.AG
Subjects: 14C17, 14J17, 57R20
Related articles: Most relevant | Search more
arXiv:math/0203284 [math.AG] (Published 2002-03-28)
Inclusion-exclusion and Segre classes, II
arXiv:math/0506608 [math.AG] (Published 2005-06-29)
Celestial integration, stringy invariants, and Chern-Schwartz-MacPherson classes
arXiv:math/0507029 [math.AG] (Published 2005-07-01, updated 2006-05-19)
Limits of Chow groups, and a new construction of Chern-Schwartz-MacPherson classes

Links

Toolbox