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 Birationally rigid complete intersections of codimension two Bull. Korean Math. Soc. 2017 Vol. 54, No. 5, 1627-1654 https://doi.org/10.4134/BKMS.b160683Published online July 4, 2017Printed September 30, 2017 Daniel Evans, Aleksandr Pukhlikov The University of Liverpool, The University of Liverpool Abstract : We prove that in the parameter space of $M$-dimensional Fano complete intersections of index one and codimension two the locus of varieties that are not birationally superrigid has codimension at least $\frac12 (M-9)(M-10)-1$. Keywords : Fano complete intersection, maximal singularity, mobile linear system, multiplicity MSC numbers : 14E05, 14E07 Downloads: Full-text PDF