Scheme-theoretic intersections of three hypersurfaces in $\mathbb P^n$ and the associated sheaves

We study codimension $2$ schemes in $\mathbb P^n$ that are scheme-theoretic intersections of three hypersurfaces. The results of Peskine,Szpiro and Rao about invariant smooth three-generated schemes are generalized to Cohen–Macaulay schemes. We also give criteria for stability and splittability of the associated vector bundles.