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On 3-dimensional terminal singularities

Published online by Cambridge University Press:  22 January 2016

Shigefumi Mori
Shigefumi Mori*
Affiliation:
Department of Mathematics, Faculty of Science, Nagoya University, Chikusa-ku, Nagoya 464, Japan
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Canonical and terminal singularities are introduced by M. Reid [5], [6]. He proved that 3-dimensional terminal singularities are cyclic quotient of smooth points or cDV points [6].

Information

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 98 , June 1985 , pp. 43 - 66
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1985

References

[ 1 ] Artin, M., Algebraic approximation of structures over complete local rings, Publication I.H.E.S., no. 36.Google Scholar
[ 2 ] Artin, M., Lectures on deformations of singularities, Bombay 1976.Google Scholar
[ 3 ] Danilov, V., Birational geometry of toric 3-folds, Izv. Akad. Nauk SSSR ser. Mat., 46 (1982), no. 5.Google Scholar
[ 4 ] Morrison, D. and Stevens, G., Terminal quotient singularities in dimensions three and four, preprint.Google Scholar
[ 5 ] Reid, M., Canonical 3-folds, Journées de géométrie algébrique d’Angers, ed. Beauville, A., Sijthoff and Noordhoff, Alphen (1980), 273–310.Google Scholar
[ 6 ] Reid, M., Minimal models of canonical 3-folds, Advanced studies in pure math. 1, ed. Iitaka, S. and Morikawa, H., Kinokuniya and North Holland, 1983, 131–180.Google Scholar