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Stable irrationality of quartic sixfolds

John Christian Ottem

Source record

Source: arXiv

Published: Sep 9, 2026

arXiv: 2609.10231

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Source 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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Stable irrationality of quartic sixfolds — Mathematical Frontier Network