Yuri Prokhorov - Effective Results in the Three-Dimensional Minimal Model Program

Yuri Prokhorov - Effective Results in the Three-Dimensional Minimal Model Program

International Mathematical Union via YouTube Direct link

Intro

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1 of 17

Intro

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Yuri Prokhorov - Effective Results in the Three-Dimensional Minimal Model Program

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

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