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Sbornik: Mathematics, 1995, Volume 186, Issue 8, Pages 1185–1198
DOI: https://doi.org/10.1070/SM1995v186n08ABEH000062
(Mi sm62)
 

This article is cited in 1 scientific paper (total in 1 paper)

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

D. Yu. Kuznetsov

Yaroslavl Pedagogical University
References:
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.
Received: 12.04.1994
Russian version:
Matematicheskii Sbornik, 1995, Volume 186, Number 8, Pages 105–118
Bibliographic databases:
UDC: 513.7
Language: English
Original paper language: Russian
Citation: D. Yu. Kuznetsov, “Scheme-theoretic intersections of three hypersurfaces in $\mathbb P^n$ and the associated sheaves”, Mat. Sb., 186:8 (1995), 105–118; Sb. Math., 186:8 (1995), 1185–1198
Citation in format AMSBIB
\Bibitem{Kuz95}
\by D.~Yu.~Kuznetsov
\paper Scheme-theoretic intersections of three hypersurfaces in $\mathbb P^n$ and the~associated sheaves
\jour Mat. Sb.
\yr 1995
\vol 186
\issue 8
\pages 105--118
\mathnet{http://mi.mathnet.ru/sm62}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1357359}
\zmath{https://zbmath.org/?q=an:0887.14022}
\transl
\jour Sb. Math.
\yr 1995
\vol 186
\issue 8
\pages 1185--1198
\crossref{https://doi.org/10.1070/SM1995v186n08ABEH000062}
\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:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:259
    Russian version PDF:78
    English version PDF:24
    References:42
    First page:1
     
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