Geodesic
Birationally rigid complete intersections of quadrics and cubics
Izvestiya. Mathematics , Tome 77 (2013) no. 4, pp. 795-845.

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We prove the birational superrigidity of generic Fano complete intersections $V$ of type $2^{k_1}\cdot3^{k_2}$ in the projective space ${\mathbb P}^{2k_1+3k_2}$ provided that $k_2\geqslant2$ and $k_1+2k_2=\dim V\geqslant12$, and of certain families of Fano complete intersections of dimensions 10 and 11.
Keywords: Fano variety, complete intersection, birational rigidity, maximal singularity, multiplicity. 
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A. V. Pukhlikov. Birationally rigid complete intersections of quadrics and cubics. Izvestiya. Mathematics , Tome 77 (2013) no. 4, pp. 795-845. http://geodesic.mathdoc.fr/item/IM2_2013_77_4_a8/

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