Birationally rigid Fano threefold hypersurfaces

Abstract

We prove that every quasi-smooth hypersurface in the 95 families of weighted Fano threefold hypersurfaces is birationally rigid.

114 pages

References in corpus (2)

• K-stability and Kähler-Einstein metrics
• Log canonical thresholds of smooth Fano threefolds. With an appendix by Jean-Pierre Demailly

Cited by in corpus (13)

• Birational Mori fiber structures of Q-Fano 3-fold weighted complete intersections, II
• Birational Mori fiber structures of $\mathbb{Q}$-Fano $3$-fold weighted complete intersections, III
• Birational superrigidity is not a locally closed property
• Stable rationality of orbifold Fano threefold hypersurfaces
• Weighted Fano varieties and infinitesimal Torelli problem
• On birational rigidity of singular del Pezzo fibrations of degree 1
• Characterizing terminal Fano threefolds with the smallest anti-canonical volume
• Birationally superrigid Fano 3-folds of codimension 4
• Alpha invariants of birationally rigid Fano threefolds
• K-stability of birationally superrigid Fano 3-fold weighted hypersurfaces
• Alpha invariants of birationally bi-rigid Fano 3-folds I
• $\mathbb{Q}$-Fano threefolds with three birational Mori fiber structures
• Sarkisov links from toric weighted blowups of ${\mathbb{P}}^3$ and ${\mathbb{P}}^4$ at a point