The Stacks project

Remark 51.21.8. The paper [AHS] shows, besides many other things, that if $A$ is local, then Proposition 51.21.7 also holds with $e = t$ replaced by $e = \dim (A)$. Looking at Lemma 51.20.3 it is natural to ask whether Proposition 51.21.7 holds with $e = t$ replaced with $e = \text{cd}(A, I)$. We don't know.