Higher Dimensional Algebraic Geometry

Herausgeber: Hacon, Christopher; Xu, Chenyang

• Broschiertes Buch

Produktbeschreibung

Arising from the 2022 Japan-US Mathematics Institute, this book covers a range of topics in modern algebraic geometry, including birational geometry, classification of varieties in positive and zero characteristic, K-stability, Fano varieties, foliations, the minimal model program and mathematical physics. The volume includes survey articles providing an accessible introduction to current areas of interest for younger researchers. Research papers, written by leading experts in the field, disseminate recent breakthroughs in areas related to the research of V.V. Shokurov, who has been a source of inspiration for birational geometry over the last forty years.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 458
• Erscheinungstermin: 18. Oktober 2025
• Englisch
• Abmessung: 229mm x 152mm x 25mm
• Gewicht: 658g
• ISBN-13: 9781009396240
• ISBN-10: 1009396242
• Artikelnr.: 71956118

Inhaltsangabe

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.