Book contents
- Frontmatter
- Contents
- List of Contributors
- Preface
- 1 Birational Geometry of Algebraic Varieties and Shokurov’s Work
- 2 ACC for Log Canonical Thresholds for Complex Analytic Spaces
- 3 Conjectures on the Kodaira Dimension
- 4 Characterizing Terminal Fano Threefolds with the Smallest Anti-Canonical Volume, II
- 5 Uniform Rational Polytopes for Iitaka Dimensions
- 6 MMP for Algebraically Integrable Foliations
- 7 On Toric Fano Fibrations
- 8 Q-Fano Threefolds of Fano Index 13
- 9 Reflective Hyperbolic 2-Elementary Lattices, K3 Surfaces and Hyperkahler Manifolds
- 10 The Relative Du Bois Complex – on a Question of S. Zucker
- 11 Factorization Presentations
- 12 Spectrum Bounds in Geometry
- 13 On the DCC of Iitaka Volumes
- 14 Shokurov’s Index Conjecture for Quotient Singularities
- 15 A Note on the Sarkisov Program
- 16 Cluster Varieties and Toric Specializations of Fano Varieties
- 17 Birational Rigidity and Alpha Invariants of Fano Varieties
- 18 On F-Pure Inversion of Adjunction
- 19 On Termination of Flips and Fundamental Groups
- 20 Motivic Integration on Berkovich Spaces
15 - A Note on the Sarkisov Program
Published online by Cambridge University Press: 06 December 2024
Book contents
- Frontmatter
- Contents
- List of Contributors
- Preface
- 1 Birational Geometry of Algebraic Varieties and Shokurov’s Work
- 2 ACC for Log Canonical Thresholds for Complex Analytic Spaces
- 3 Conjectures on the Kodaira Dimension
- 4 Characterizing Terminal Fano Threefolds with the Smallest Anti-Canonical Volume, II
- 5 Uniform Rational Polytopes for Iitaka Dimensions
- 6 MMP for Algebraically Integrable Foliations
- 7 On Toric Fano Fibrations
- 8 Q-Fano Threefolds of Fano Index 13
- 9 Reflective Hyperbolic 2-Elementary Lattices, K3 Surfaces and Hyperkahler Manifolds
- 10 The Relative Du Bois Complex – on a Question of S. Zucker
- 11 Factorization Presentations
- 12 Spectrum Bounds in Geometry
- 13 On the DCC of Iitaka Volumes
- 14 Shokurov’s Index Conjecture for Quotient Singularities
- 15 A Note on the Sarkisov Program
- 16 Cluster Varieties and Toric Specializations of Fano Varieties
- 17 Birational Rigidity and Alpha Invariants of Fano Varieties
- 18 On F-Pure Inversion of Adjunction
- 19 On Termination of Flips and Fundamental Groups
- 20 Motivic Integration on Berkovich Spaces
Summary
The purpose of this note is to introduce three methods of the Sarkisov program, which aims to factorize birational maps of log Mori fibre spaces.
- Type
- Chapter
- Information
- Higher Dimensional Algebraic GeometryA Volume in Honor of V. V. Shokurov, pp. 231 - 263Publisher: Cambridge University PressPrint publication year: 2025