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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… Click to show full abstract
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.
Keywords:
rationality cyclic;
cyclic covers;
projective spaces;
covers projective;
stable rationality
Journal Title: Proceedings of the Edinburgh Mathematical Society
Year Published: 2019
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Journal Title: Proceedings of the Edinburgh Mathematical Society
Year Published: 2019
Link to full text (if available)
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recommendations!