Covering a range of topics in modern algebraic geometry, this text features research articles discussing recent breakthroughs in areas closely related to the work of V.V. Shokurov. Accessible survey articles introduce graduate students to current areas of interest.
Covering a range of topics in modern algebraic geometry, this text features research articles discussing recent breakthroughs in areas closely related to the work of V.V. Shokurov. Accessible survey articles introduce graduate students to current areas of interest.
1. Foreword 2. Birational geometry of algebraic varieties and Shokurov's work 3. ACC for log canonical thresholds for complex analytic spaces 4. Conjectures on the Kodaira dimension 5. Characterizing terminal Fano three folds with the smallest anti-canonical volume 6. Uniform rational polytopes for Iitaka dimensions 7. MMP for algebraically integrable foliations 8. On Toric Fano fibrations 9. Q-Fano three folds of Fano index thirteen 10. Reflective 2-elementary lattices 11. The relative duBois complex-on a question of s. Zucker 12. Factorization presentations 13. Spectrum bounds in geometry 14. On the DCC of Iitaka volumes 15. Shokurov's index conjecture for quotient singularities 16. A note on the Sarkisov program 17. Cluster varieties and Toric specializations of Fano varieties 18. Birational rigidity and alpha invariants of Fano varieties 19. On f-pure inversion of adjunction 20. On termination and fundamental groups 21. Motivic integration on Berkovich spaces.
1. Foreword 2. Birational geometry of algebraic varieties and Shokurov's work 3. ACC for log canonical thresholds for complex analytic spaces 4. Conjectures on the Kodaira dimension 5. Characterizing terminal Fano three folds with the smallest anti-canonical volume 6. Uniform rational polytopes for Iitaka dimensions 7. MMP for algebraically integrable foliations 8. On Toric Fano fibrations 9. Q-Fano three folds of Fano index thirteen 10. Reflective 2-elementary lattices 11. The relative duBois complex-on a question of s. Zucker 12. Factorization presentations 13. Spectrum bounds in geometry 14. On the DCC of Iitaka volumes 15. Shokurov's index conjecture for quotient singularities 16. A note on the Sarkisov program 17. Cluster varieties and Toric specializations of Fano varieties 18. Birational rigidity and alpha invariants of Fano varieties 19. On f-pure inversion of adjunction 20. On termination and fundamental groups 21. Motivic integration on Berkovich spaces.
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