Chern Classes of Splayed Intersections

DOI10.4153/CJM-2015-010-7zbMATH Open1328.14011arXiv1406.1182WikidataQ59895708 ScholiaQ59895708MaRDI QIDQ3458246

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Publication date: 18 December 2015

Published in: (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/1406.1182

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