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This article is cited in 4 scientific papers (total in 4 papers)
Threefold extremal curve germs with one non-Gorenstein point
Sh. Moriab, Yu. G. Prokhorovcde a Kyoto University Institute for Advanced Study, Kyoto University, Kyoto, Japan
b Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan
c Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
d Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
e National Research University "Higher School of Economics", Moscow
Abstract:
An extremal curve germ is the analytic germ of a threefold with terminal
singularities along a reduced complete curve admitting a contraction whose
fibres have dimension at most one. The aim of the present paper is to review
the results concerning contractions whose central fibre is irreducible and
contains only one non-Gorenstein point.
Keywords:
extremal curve germ, terminal singularity, canonical divisor, birational map, blow-up, flip, $Q$-conic bundle.
Received: 28.06.2018
Citation:
Sh. Mori, Yu. G. Prokhorov, “Threefold extremal curve germs with one non-Gorenstein point”, Izv. RAN. Ser. Mat., 83:3 (2019), 158–212; Izv. Math., 83:3 (2019), 565–612
Linking options:
https://www.mathnet.ru/eng/im8833https://doi.org/10.1070/IM8833 https://www.mathnet.ru/eng/im/v83/i3/p158
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Abstract page: | 513 | Russian version PDF: | 38 | English version PDF: | 16 | References: | 45 | First page: | 22 |
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