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arXiv · 2609.10231

Very general quartic sixfolds are not stably rational

John Christian Ottem
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Abstract

We prove that a very general quartic sixfold admits no integral decomposition of the diagonal, and in particular is not stably rational. The proof uses specialization to an explicit quartic sixfold birational to a quadric bundle of the type considered by Colliot-Thélène and Ojanguren.

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John Christian Ottem. 2026-09-15. Very general quartic sixfolds are not stably rational. https://arxiv.org/abs/2609.10231

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