Geodesic
Three-fold log flips
Izvestiya. Mathematics , Tome 40 (1993) no. 1, pp. 95-202.

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We prove that 3-fold log flips exist. We deduce the existence of log canonical and $\mathbf Q$-factorial log terminal models, as well as a positive answer to the inversion problem for log canonical and log terminal adjunction. 
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     author = {V. V. Shokurov},
     title = {Three-fold log flips},
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V. V. Shokurov. Three-fold log flips. Izvestiya. Mathematics , Tome 40 (1993) no. 1, pp. 95-202. http://geodesic.mathdoc.fr/item/IM2_1993_40_1_a3/

[1] Mori S., “On 3-dimensional terminal singularities”, Nagoya Math. J., 98 (1985), 43–66 | MR | Zbl