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Izv. RAN. Ser. Mat., Forthcoming paper (Mi izv8833)  

Threefold extremal curve germs with one non-Gorenstein point

Sh. Moriab, Yu. G. Prokhorovcde

a Kyoto University Institute for Advanced Study, Kyoto University, Japan
b Research Institute for Mathematical Sciences, Kyoto University, Japan
c Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
d Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
e 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 fibers have dimension at most one. The aim of the present paper is to review the results concerning those contractions whose central fiber is irreducible and contains only one non-Gorenstein point.

Keywords: экстремальные окрестности, терминальная особенность, канонический дивизор, бирациональное отображение, раздутие, флип, Q-расслоение на коники


English version:
DOI: https://doi.org/10.1070/IM8833

UDC: 512.776
Received: 28.06.2018

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