# Birationally rigid complete intersections of quadrics and cubics

Authors
Type
Preprint
Publication Date
Jun 23, 2013
Submission Date
May 09, 2012
Identifiers
DOI: 10.1070/IM2013v077n04ABEH002661
Source
arXiv
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 $k_2\geq 2$ and $k_1+2k_2=\mathop{\rm dim} V\geq 12$, 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.