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Timeline for Lifts of smooth algebras

Current License: CC BY-SA 4.0

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Apr 4, 2019 at 6:30 comment added Laurent Moret-Bailly In general $i_*\mathcal{O}_Y$ is not coherent, only quasicoherent. Next, where do you use the assumptions that $(R,I)$ is henselian and $A$, $B$ are smooth?
Apr 3, 2019 at 21:18 comment added John P. In the special case when $\text{Spec}(A)$ is an affine space over $R/I$, or a distinguished affine open of a projective space over $R/I$, can one lift the relations directly, to get a surjective lift $A\to B$ on the nose without replacing $\text{Spec}(A)$ with an open neighborhood of $\text{Spec}(A_0)$? I’d just like to be sure
Apr 3, 2019 at 21:08 vote accept John P.
Apr 3, 2019 at 21:03 history answered Piotr Achinger CC BY-SA 4.0