Birationally rigid complete intersections of quadrics and cubics

Abstract

We prove birational superrigidity of generic Fano complete intersections $V$ of type $2^{k_1}\cdot 3^{k_2}$ in the projective space ${\mathbb{P}}^{2k_1+3k_2}$, under the condition that $k_2\ge 2$ and $k_1+2k_2=\dim V\ge 12$, and of a few families of Fano complete intersections of dimension 10 and 11. This is the third version: minor corrections were made, including a few typos.

55 pages

Cited by in corpus (8)

• Birational superrigidity and K-stability of singular Fano complete intersections
• Birational superrigidity and K-stability of Fano complete intersections of index one (with an appendix written jointly with Charlie Stibitz)
• Birationally rigid complete intersections of high codimension
• Birationally rigid complete intersections of codimension two
• Birational rigidity of complete intersections
• On birational superrigidity and conditional birational superrigidity of certain Fano hypersurfaces
• Canonical and log canonical thresholds of Fano complete intersections
• Birational superrigidity and K-stability of projectively normal Fano manifolds of index one