Birationally superrigid cyclic triple spaces

Abstract

We prove the birational superrigidity and the nonrationality of a cyclic triple cover of ${\mathbb{P}}^{2n}$ branched over a nodal hypersurface of degree $3n$ for $n\ge 2$. In particular, the obtained result solves the problem of the birational superrigidity of smooth cyclic triple spaces. We also consider certain relevant problems.

43 pages

Cited by in corpus (1)

• Stable rationality of cyclic covers of projective spaces