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arXiv · 2410.02500

A note of characteristic class for singular varieties

Antonio M. Ferreira·Fernando Lourenco
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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 $\mu$-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.

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Antonio M. Ferreira, Fernando Lourenco. 2024-10-03. A note of characteristic class for singular varieties. https://arxiv.org/abs/2410.02500

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