Abstract:
We study codimension 2 schemes in Pn 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.
Citation:
D. Yu. Kuznetsov, “Scheme-theoretic intersections of three hypersurfaces in Pn and the associated sheaves”, Sb. Math., 186:8 (1995), 1185–1198
\Bibitem{Kuz95}
\by D.~Yu.~Kuznetsov
\paper Scheme-theoretic intersections of three hypersurfaces in $\mathbb P^n$ and the~associated sheaves
\jour Sb. Math.
\yr 1995
\vol 186
\issue 8
\pages 1185--1198
\mathnet{http://mi.mathnet.ru/eng/sm62}
\crossref{https://doi.org/10.1070/SM1995v186n08ABEH000062}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1357359}
\zmath{https://zbmath.org/?q=an:0887.14022}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995TX11200014}
Linking options:
https://www.mathnet.ru/eng/sm62
https://doi.org/10.1070/SM1995v186n08ABEH000062
https://www.mathnet.ru/eng/sm/v186/i8/p105
This publication is cited in the following 1 articles:
Antonio Polo, Walter Spangher, “Scheme-theoretic generation for ideals generated by forms of the same degree: a nice formula”, Communications in Algebra, 28:6 (2000), 3023
Citation in format AMSBIB
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