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Sbornik: Mathematics, 2006, Volume 197, Issue 10, Pages 1459–1465
DOI: https://doi.org/10.1070/SM2006v197n10ABEH003807 (Mi sm1134) 		 
Semiampleness theorem for weak log Fano varieties

I. V. Karzhemanov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (208 kB)
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DOI: https://doi.org/10.1070/SM2006v197n10ABEH003807
Abstract: The semiampleness of the divisor $-(K_X+S)$ is proved for a pair $(X,S)$ with purely log terminal $\mathbb Q$-factorial singularities, where $X$ is a three-dimensional normal projective algebraic variety and $S\subset X$ is a normal surface such that the divisor $-(K_X+S)$ is nef and big.
Bibliography: 8 titles.
Received: 17.08.2005
Russian version:
Matematicheskii Sbornik, 2006, Volume 197, Number 10, Pages 57–64
DOI: https://doi.org/10.4213/sm1134
Bibliographic databases:
UDC: 512.763
MSC: Primary 14E30; Secondary 14E05, 14G30
Language: English
Original paper language: Russian
Citation: I. V. Karzhemanov, “Semiampleness theorem for weak log Fano varieties”, Mat. Sb., 197:10 (2006), 57–64; Sb. Math., 197:10 (2006), 1459–1465
Citation in format AMSBIB
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    English version PDF:14
    References:45
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