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
8 - Q-Fano Threefolds of Fano Index 13
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
We show that a non-toric ℚ-factorial terminal Fano threefold of Picard rank 1 and Fano index 13 is a weighted hypersurface of degree 12 in ℙ(3,4,5,6,7)
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- Type
- Chapter
- Information
- Higher Dimensional Algebraic GeometryA Volume in Honor of V. V. Shokurov, pp. 115 - 129Publisher: Cambridge University PressPrint publication year: 2025