Канал: Birational geometry of algebraic varieties

25. Moduli of stable pairs

25. Moduli of stable pairs

24. Survey of BCHM (cont.), semi-log canonical singularities

24. Survey of BCHM (cont.), semi-log canonical singularities

23. Inversion of adjunction, survey of BCHM

23. Inversion of adjunction, survey of BCHM

22. Types of models, adjunction and the different

22. Types of models, adjunction and the different

21. The log minimal model program and the relative case

21. The log minimal model program and the relative case

20. The cone theorem II

20. The cone theorem II

19. The cone theorem I

19. The cone theorem I

18. Proof of the rationality theorem

18. Proof of the rationality theorem

10. The relative setting, divisors on singular schemes, canonical and terminal singularities

10. The relative setting, divisors on singular schemes, canonical and terminal singularities

17. Proof of the non-vanishing theorem

17. Proof of the non-vanishing theorem

16. Proof of the basepoint free theorem

16. Proof of the basepoint free theorem

15. Kawamata-Viehweg vanishing (cont.), cone theorems

15. Kawamata-Viehweg vanishing (cont.), cone theorems

14. Kawamata-Viehweg vanishing

14. Kawamata-Viehweg vanishing

13. Singularities (cont.), Kodaira vanishing

13. Singularities (cont.), Kodaira vanishing

12. Singularities of pairs

12. Singularities of pairs

11. Log pairs and discrepancies

11. Log pairs and discrepancies

3. The cone of curves

3. The cone of curves

9. Extremal contractions, positivity criteria

9. Extremal contractions, positivity criteria

8. Classification of surfaces II, cone of curves in higher dimensions

8. Classification of surfaces II, cone of curves in higher dimensions

7. Classification of surfaces I

7. Classification of surfaces I

4. Surfaces with canonical bundle not nef and Castelnuovo's rationality criterion

4. Surfaces with canonical bundle not nef and Castelnuovo's rationality criterion

5. Big line bundles, the Albanese morphism, and minimal models in dimension 2

5. Big line bundles, the Albanese morphism, and minimal models in dimension 2

6. Abundance in dimension 2

6. Abundance in dimension 2

1. Overview

1. Overview

2. Surfaces and Castelnuovo's contraction theorem

2. Surfaces and Castelnuovo's contraction theorem