A note of characteristic class for singular varieties
Algebraic Geometry
2024-10-04 v1 Algebraic Topology
Complex Variables
Abstract
In this work we study characteristic classes of possibly singular varieties embedded as a closed subvariety of a nonsingular variety. In special, we express the Schwartz-MacPherson class in terms of the -class and Chern class of the sheaves of logarithmic and multi-logarithmic differential forms. As an application we show an expression for Euler characteristic of a complement of a singular variety.
Cite
@article{arxiv.2410.02500,
title = {A note of characteristic class for singular varieties},
author = {Antonio M. Ferreira and Fernando Lourenco},
journal= {arXiv preprint arXiv:2410.02500},
year = {2024}
}