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Stable Rationality of Cyclic Covers of Projective Spaces
Published online by Cambridge University Press: 11 January 2019
Abstract
The main aim of this paper is to show that a cyclic cover of ℙn branched along a very general divisor of degree d is not stably rational, provided that n ≥ 3 and d ≥ 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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- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 62 , Issue 3 , August 2019 , pp. 667 - 682
- Copyright
- Copyright © Edinburgh Mathematical Society 2019
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