Chern classes of splayed intersections
Algebraic Geometry
2019-08-15 v1
Abstract
We generalize the Chern class relation for the transversal intersection of two nonsingular varieties to a relation for possibly singular varieties, under a 'splayedness' assumption. The relation is shown to hold for both the Chern-Schwartz-MacPherson class and the Chern-Fulton class. The main tool is a formula for Segre classes of splayed subschemes. We also discuss the Chern class relation under the assumption that one of the varieties is a general very ample divisor.
Cite
@article{arxiv.1406.1182,
title = {Chern classes of splayed intersections},
author = {Paolo Aluffi and Eleonore Faber},
journal= {arXiv preprint arXiv:1406.1182},
year = {2019}
}
Comments
18 pages