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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2009, Volume 264, Pages 109–115 (Mi tm807)  
This article is cited in 4 scientific papers (total in 4 papers)

Factoriality of Complete Intersections in $\mathbb P^5$

D. Kosta

School of Mathematics, The University of Edinburgh, Edinburgh, UK
Full-text PDF (171 kB) Citations (4)
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Abstract: Let $X$ be a complete intersection of two hypersurfaces $F_n$ and $F_k$ in $\mathbb P^5$ of degree $n$ and $k$, respectively, with $n\ge k$, such that the singularities of $X$ are nodal and $F_k$ is smooth. We prove that if the threefold $X$ has at most $(n+k-2)(n-1)-1$ singular points, then it is factorial.
Received in August 2008
English version:
Proceedings of the Steklov Institute of Mathematics, 2009, Volume 264, Pages 102–109
DOI: https://doi.org/10.1134/S0081543809010131
Bibliographic databases:
UDC: 512.7
Language: English
Citation: D. Kosta, “Factoriality of Complete Intersections in $\mathbb P^5$”, Multidimensional algebraic geometry, Collected papers. Dedicated to the Memory of Vasilii Alekseevich Iskovskikh, Corresponding Member of the Russian Academy of Sciences, Trudy Mat. Inst. Steklova, 264, MAIK Nauka/Interperiodica, Moscow, 2009, 109–115; Proc. Steklov Inst. Math., 264 (2009), 102–109
Citation in format AMSBIB
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\by D.~Kosta
\paper Factoriality of Complete Intersections in~$\mathbb P^5$
\inbook Multidimensional algebraic geometry
\bookinfo Collected papers. Dedicated to the Memory of Vasilii Alekseevich Iskovskikh, Corresponding Member of the Russian Academy of Sciences
\serial Trudy Mat. Inst. Steklova
\yr 2009
\vol 264
\pages 109--115
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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\yr 2009
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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