Birationally Rigid Fano Threefold Hypersurfaces.

The authors prove that every quasi-smooth weighted Fano threefold hypersurface in the 95 families of Fletcher and Reid is birationally rigid.

Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Cheltsov, Ivan
Autres auteurs: Park, Jihun
Format: Publication officielle Électronique eBook
Langue:Inglés
Publié: Providence : American Mathematical Society, 2013.
Collection:Memoirs of the American Mathematical Society.
Sujets:
Hypersurfaces.
Threefolds (Algebraic geometry)
Surfaces, Algebraic.
Rigidity (Geometry)
Variétés à 3 dimensions.
Surfaces algébriques.
Rigidité (Géométrie)
Hypersurfaces
Surfaces, Algebraic
Accès en ligne:Texto completo
Table des matières:
  • Cover; Title page; Chapter 1. Introduction; 1.1. Birational rigidity and Main Theorem; 1.2. How to prove Main Theorem; 1.3. Notations; 1.4. The 95 families of Fletcher and Ried; Chapter 2. Smooth points and curves; 2.1. Excluding smooth points; 2.2. Excluding curves; Chapter 3. Singular points; 3.1. Cyclic quotient singular points; 3.2. Excluding singular points; 3.3. Untwisting singular points; Chapter 4. Birational involutions; 4.1. Quadratic involution; 4.2. Elliptic involution; 4.3. Invisible elliptic involution; Chapter 5. Proof of Main Theorem; 5.1. How to read the tables.
  • 5.2. The tablesChapter 6. Epilogue; Open problems; General vs. special; Calabi problem; Arithmetics; Fano threefold complete intersections; Bibliography; Back Cover.

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