The Stacks project

Lemma 42.38.7. Let $(S, \delta )$ be as in Situation 42.7.1. Let $X$ be locally of finite type over $S$. Let $\mathcal{E}$ be a locally free $\mathcal{O}_ X$-module of rank $r$. Let $0 \leq p \leq r$. Then the rule that to $f : X' \to X$ assigns $c_ p(f^*\mathcal{E}) \cap - : \mathop{\mathrm{CH}}\nolimits _ k(X') \to \mathop{\mathrm{CH}}\nolimits _{k - p}(X')$ is a bivariant class of degree $p$.

Comments (2)

Comment #5453 by R on

Typo: "assignes" "assigns".

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  • 2 comment(s) on Section 42.38: Intersecting with Chern classes

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