On the hyperplane sections of certain codimension 2 subvarieties in \(\mathbb{P}^ n\) (Q1203527)

Let \(Z\subset\mathbb{P}^ n\) be a smooth integral variety with \(\dim(Z)\geq 1\); when can \(Z\) be a hyperplane section of a smooth variety \(W\subset\mathbb{P}^{n+1}\)? Here the author gives an interesting sufficient condition (in terms of the minimal free resolution of \(Z)\) when \(n\leq 4\), \(Z\) has codimension 2 and \(Z\) is arithmetically Buchsbaum (or arithmetically Cohen-Macaulay). The tools are two of her previous nice theorems: the minimal free resolution of codimension 2 arithmetically Buchsbaum varieties and filtered Bertini.