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This article is cited in 3 scientific papers (total in 3 papers)
Threefold extremal contractions of type (IIA). I
S. Moriab, Yu. G. Prokhorovcde a Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan
b Kyoto University Institute for Advanced Study, Kyoto University, Kyoto, Japan
c Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
d Faculty of Mechanics and Mathematics, Lomonosov Moscow State University
e National Research University "Higher School of Economics" (HSE), Moscow
Abstract:
Let $(X,C)$ be a germ of a threefold $X$ with terminal singularities along an irreducible reduced complete curve $C$ with a contraction $f\colon(X,C)\to(Z,o)$ such that $C=f^{-1}(o)_{\mathrm{red}}$ and $-K_X$ is ample. Assume that $(X,C)$ contains a point of type $(\mathrm{IIA})$ and that a general member $H\in|\mathscr O_X|$ containing $C$ is normal. We classify such germs in terms of $H$.
Keywords:
extremal contraction, threefold, extremal curve germ, terminal singularity, sheaf.
Received: 28.01.2016
Citation:
S. Mori, Yu. G. Prokhorov, “Threefold extremal contractions of type (IIA). I”, Izv. RAN. Ser. Mat., 80:5 (2016), 77–102; Izv. Math., 80:5 (2016), 884–909
Linking options:
https://www.mathnet.ru/eng/im8516https://doi.org/10.1070/IM8516 https://www.mathnet.ru/eng/im/v80/i5/p77
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Abstract page: | 519 | Russian version PDF: | 58 | English version PDF: | 13 | References: | 62 | First page: | 23 |
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