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Fix index
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aisejohan committed Mar 3, 2023
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Expand Up @@ -5947,7 +5947,7 @@ \section{Affine bundles}
is contained in an open $V \subset Y$ such that
$f^{-1}(V) \cong V \times \mathbf{A}^r$ as schemes over $V$.
In this remark we sketch a proof of the fact that
$f^* : \CH_k(Y) \to \CH_k(X)$ is an isomorphism.
$f^* : \CH_k(Y) \to \CH_{k + r}(X)$ is an isomorphism.
First, by Lemma \ref{lemma-pullback-affine-fibres-surjective}
the map is surjective. Let $\alpha \in \CH_k(Y)$ with $f^*\alpha = 0$.
We will prove that $\alpha = 0$.
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