Chern Classes of Splayed Intersections


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.

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@inproceedings{ALUFFI2014ChernCO, title={Chern Classes of Splayed Intersections}, author={PAOLO ALUFFI and ELEONORE FABER}, year={2014} }