Browse > Article
http://dx.doi.org/10.4134/BKMS.b160676

ON THREE-DIMENSIONAL SEMI-TERMINAL SINGULARITIES  

Fujita, Kento (Research Institute for Mathematical Sciences Kyoto University)
Publication Information
Bulletin of the Korean Mathematical Society / v.54, no.5, 2017 , pp. 1471-1483 More about this Journal
Abstract
We classify three-dimensional non-normal semi-terminal singularities.
Keywords
minimal model program; demi-normal variety; terminal singularity;
Citations & Related Records
연도 인용수 순위
  • Reference
1 O. Fujino, Fundamental theorems for semi log canonical pairs, Algebr. Geom. 1 (2014), no. 2, 194-228.   DOI
2 K. Fujita, Semi-terminal modifications of demi-normal pairs, Int. Math. Res. Not. IMRN 2015 (2015), no. 24, 13653-13668.   DOI
3 S. Goto, N. Suzuki, and K.-I. Watanabe, On affine semigroup rings, Japan J. Math. (N.S.) 2 (1976), no. 1, 1-12.   DOI
4 J. Kollar, Singularities of the Minimal Model Program, With the collaboration of S. Kovacs. Cambridge Tracts in Math., 200, Cambridge University Press, Cambridge, 2013.
5 J. Kollar and S. Mori, Birational geometry of algebraic varieties, With the collaboration of C. H. Clemens and A. Corti. Cambridge Tracts in Math., 134, Cambridge University Press, Cambridge, 1998.
6 J. Kollar and N. I. Shepherd-Barron, Threefolds and deformations of surface singularities, Invent. Math. 91 (1988), no. 2, 299-338.   DOI
7 H. B. Laufer, On minimally elliptic singularities, Amer. J. Math. 99 (1977), no. 6, 1257-1295.   DOI
8 S. Mori, On 3-dimensional terminal singularities, Nagoya Math. J. 98 (1985), 43-66.   DOI
9 M. Reid, Elliptic Gorenstein singularities of surfaces, preprint, 1978.
10 M. Reid, Canonical 3-folds, Journees de Geometrie Algebrique d'Angers, Juillet 1979/Algebraic Geometry, Angers, 1979, pp. 273-310, Sijthoff & Noordhoff, Alphen aan den Rijn-Germantown, Md., 1980.