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Matematicheskie Zametki, 1996, Volume 59, Issue 4, Pages 618–626
DOI: https://doi.org/10.4213/mzm1755 (Mi mzm1755) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Singularities of 3-dimensional varieties admitting an ample effective divisor of Kodaira dimension zero

I. A. Cheltsov

M. V. Lomonosov Moscow State University
Full-text PDF (194 kB) Citations (10)
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DOI: https://doi.org/10.4213/mzm1755
Abstract: For a normal threefold $X$ with an effective Cartier divisor $H$, which is a minimal model of Kodaira dimension zero, we prove that either $X$ is a generalized cone over $H$, or $X$ has quadruple singularities and $H$ is either a K3 surface, or an Enriques surface.
Received: 14.02.1995
English version:
Mathematical Notes, 1996, Volume 59, Issue 4, Pages 445–450
DOI: https://doi.org/10.1007/BF02308694
Bibliographic databases:
UDC: 512.774.42
Language: Russian
Citation: I. A. Cheltsov, “Singularities of 3-dimensional varieties admitting an ample effective divisor of Kodaira dimension zero”, Mat. Zametki, 59:4 (1996), 618–626; Math. Notes, 59:4 (1996), 445–450
Citation in format AMSBIB
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\by I.~A.~Cheltsov
\paper Singularities of 3-dimensional varieties admitting an ample effective divisor of Kodaira dimension zero
\jour Mat. Zametki
\yr 1996
\vol 59
\issue 4
\pages 618--626
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\transl
\jour Math. Notes
\yr 1996
\vol 59
\issue 4
\pages 445--450
\crossref{https://doi.org/10.1007/BF02308694}
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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