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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.
Author to whom correspondence should be addressed
DOI:
https://doi.org/10.4213/im8833
Full text:
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English version:
Izvestiya: Mathematics, 2019, 83:3, 565–612
Bibliographic databases:
UDC:
512.776
MSC: 14E05, 14E30, 14J17, 14J30 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
Citation in format AMSBIB
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Linking options:
http://mi.mathnet.ru/eng/izv8833https://doi.org/10.4213/im8833 http://mi.mathnet.ru/eng/izv/v83/i3/p158
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