Birationally rigid complete intersections of codimension two

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 $\frac{1}{2}(M-9)(M-10)-1$.

arXiv comment29 pages, 2 figures

References in corpus (3)

• Birational rigidity is not an open property
• Birational Mori fiber structures of $\mathbb{Q}$-Fano $3$-fold weighted complete intersections, III
• Birationally rigid complete intersections of quadrics and cubics

Cited by in corpus (2)

• The $4n^2$-inequality for complete intersection singularities
• Birationally rigid complete intersections of high codimension