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Yuri Prokhorov - Effective Results in the Three-Dimensional Minimal Model Program
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- 1 Intro
- 2 Minimal model program (MMP): Overview
- 3 Basic operations in the MMP
- 4 Steps of the MMP
- 5 Outcome of the MMP
- 6 Terminal 3-fold singularities
- 7 Example of a terminal 3-fold singularity
- 8 General elephant (local version)
- 9 Classification of extremal curve germs: general strategy
- 10 General elephant: irreducible central fiber
- 11 General elephant: consequences and generalizations
- 12 From general elephant to hyperplane sections
- 13 Example of semistable extremal curve germs
- 14 Classification of irreducible exceptional curve germs
- 15 Divisorial contractions to a point
- 16 Q-del Pezzo fibrations
- 17 Effective boundedness of Q-Fano 3-folds
