Birationally superrigid cyclic triple spaces

I. A. Cheltsov

Izvestiya. Mathematics , Tome 68 (2004) no. 6, pp. 1229-1275.

Résumé

We prove the birational superrigidity and non-rationality of a cyclic triple covering of $\mathbb{P}^{2n}$ branched over a nodal hypersurface of degree $3n$ for $n\geqslant 2$. The result obtained solves the problem of birational superrigidity for smooth cyclic triple spaces. We also consider certain relevant problems.

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