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arXiv · 1407.1130

On characteristic classes of singular hypersurfaces and involutive symmetries of the Chow group

James Fullwood
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Abstract

For any algebraic scheme $X$ and every $(n,\mathscr{L})\in \mathbb{Z}\times \text{Pic}(X)$ we define an associated involution of its Chow group $A_*X$, and show that certain characteristic classes of (possibly singular) hypersurfaces in a smooth variety are interchanged via these involutions. For $X=\mathbb{P}^N$ we show that such involutions are induced by involutive correspondences.

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James Fullwood. 2014-07-04. On characteristic classes of singular hypersurfaces and involutive symmetries of the Chow group. https://arxiv.org/abs/1407.1130

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