Geodesic
Scheme-theoretic intersections of three hypersurfaces in $\mathbb P^n$ and the~associated sheaves
Sbornik. Mathematics, Tome 186 (1995) no. 8, pp. 1185-1198

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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. 
@article{SM_1995_186_8_a4,
     author = {D. Yu. Kuznetsov},
     title = {Scheme-theoretic intersections of three hypersurfaces in $\mathbb P^n$ and the~associated sheaves},
     journal = {Sbornik. Mathematics},
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     url = {http://geodesic.mathdoc.fr/item/SM_1995_186_8_a4/}
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D. Yu. Kuznetsov. Scheme-theoretic intersections of three hypersurfaces in $\mathbb P^n$ and the~associated sheaves. Sbornik. Mathematics, Tome 186 (1995) no. 8, pp. 1185-1198. http://geodesic.mathdoc.fr/item/SM_1995_186_8_a4/