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arXiv · 1604.08417

Stable rationality of cyclic covers of projective spaces

Takuzo Okada
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Abstract

The main aim of this paper is to show that a cyclic cover of $\mathbb{P}^n$ branched along a very general divisor of degree $d$ is not stably rational provided that $n \ge 3$ and $d \ge n+1$. This generalizes the result of Colliot-Thélène and Pirutka. Generalizations for cyclic covers over complete intersections and applications to suitable Fano manifolds are also discussed.

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Takuzo Okada. 2016-07-06. Stable rationality of cyclic covers of projective spaces. https://doi.org/10.1017/s0013091518000755

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