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ag.algebraic geometry – Examples of effectual Lefschetz situation

When a closed subvariety $Y$ of $X$ answer effectual Lefschetz situation $Leff(X,Y)$, it implies there’s an equivalence if classes between the vector bundles on the formal neighborhood of $Y$ in $X$ and vector bundles on a neighborhood of $Y$. One of functors inducing this equivalence is limpid, it’s the restriction functor which is require. Is there any categorical description of the opposite functor? Is it require?

A theorem Hartshorne implies that when $X$ and $Y$ are flush projective varieties and $Y$ is a whole intersection with $textual content{dim}(Y)geq 2$, this property holds. I marvel whether or not there are any attention-grabbing examples of pairs that $X$ is a floor and $Y$ is a round, I’m extra enthusiastic about having an attention-grabbing $X$. (in parch $p$ ideally)

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