Abstract
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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REFERENCES
Yu. G. Prokhorov, “Blow-ups of canonical singularities,” in: Algebra (Yu. Bahturin, editor), Proc. Internat. Conf. on the Occasion of the 90th Birthday of A. G. Kurosh (Moscow, Russia, May 25-30, 1998), Walter de Gruyter, Berlin, 2000, pp. 301-317.
V. V. Shokurov, “Complements on surfaces,” in: E-print math.AG/9711024, 1997.
J. Kollar et al., Flips and Abundance for Algebraic Threefolds, vol. 211, Ast´erisque, Paris, 1992.
Yu. G. Prokhorov, “Lectures on complements on log surfaces,” in: E-print math.AG/9912111, 1999.
V. V. Shokurov, “Three-dimensional log surgeries,” Izv. Akad. Nauk SSSR Ser. Mat. [Math. USSRIzv.], 56 (1992), no. 1, 105-203.
Y. Kawamata, K. Matsuda, and K. Matsuki, “Introduction to the minimal model program,” Adv. Stud. in Pure Math., 10 (1987), 283-360.
S. Ishii, The Quotient of log-Canonical Singularities by Finite Groups, Preprint, 1999.
O. Fujino, “The indices of log canonical singularities,” in: E-print math.AG/9909035, 1999.
Yu. G. Prokhorov and S. Ishii, “Hypersurface exceptional singularities,” in: E-print math.AG/9910123, 1999.
S. A. Kudryavtsev, “Boundedness of exceptional log canonical hypersurface singularities,” in: Preprint [in Russian], 2000.
S. A. Kudryavtsev, Classification of Three-Dimensional Exceptional Canonical Hypersurface Singularities [in Russian], Preprint, 2000.
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Kudryavtsev, S.A. Pure Log Terminal Blow-Ups. Mathematical Notes 69, 814–819 (2001). https://doi.org/10.1023/A:1010234532502
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DOI: https://doi.org/10.1023/A:1010234532502