Geodesic
Pure Log Terminal Blow-Ups
Matematičeskie zametki, Tome 69 (2001) no. 6, pp. 892-898.

Voir la notice de l'article provenant de la source Math-Net.Ru

The existence of a pure log terminal blow-up for a log terminal singularity and a criterion for a singularity to be weakly exceptional are proved. 
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S. A. Kudryavtsev. Pure Log Terminal Blow-Ups. Matematičeskie zametki, Tome 69 (2001) no. 6, pp. 892-898. http://geodesic.mathdoc.fr/item/MZM_2001_69_6_a7/

[1] Prokhorov Yu. G., “Blow-ups of canonical singularities”, Algebra, Proc. Internat. Conf. on the Occasion of the 90th Birthday of A. G. Kurosh (Moscow, Russia, May 25–30, 1998), ed. Yu. Bahturin, Walter de Gruyter, Berlin, 2000, 301–317 | MR | Zbl

[2] Shokurov V. V., Complements on surfaces, , 1997 E-print alg-geom/9711024

[3] Kollar J. et al., Flips and Abundance for Algebraic Threefolds, Astérisque, 211, Paris, 1992

[4] Prokhorov Yu. G., Lectures on complements on log surfaces, , 1999 E-print math.AG/9912111

[5] Shokurov V. V., “Trekhmernye logperestroiki”, Izv. AN SSSR. Ser. matem., 56:1 (1992), 105–203 | MR | Zbl

[6] Kawamata Y., Matsuda K., Matsuki K., “Introduction to the minimal model program”, Adv. Stud. in Pure Math., 10 (1987), 283–360 | MR | Zbl

[7] Ishii S., The quotient of log-canonical singularities by finite groups, Preprint, 1999

[8] Fujino O., The indices of log canonical singularities, , 1999 E-print math.AG/9909035

[9] Prokhorov Yu. G., Ishii S., Hypersurface exceptional singularities, , 1999 E-print math.AG/9910123