This article is cited in 2 papers

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

D. Yu. Kuznetsov

Yaroslavl Pedagogical University

Abstract: 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.

UDC: 513.7

MSC: 14J60, 14M99, 14M06, 14A15

Received: 12.04.1994

 English version: Sbornik: Mathematics, 1995, 186:8, 1185–1198

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