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arXiv · 1801.05397

Stably irrational hypersurfaces of small slopes

Stefan Schreieder
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Abstract

Let k be an uncountable field of characteristic different from two. We show that a very general hypersurface of dimension N>2 and degree at least $\log_2N +2$ is not stably rational over the algebraic closure of k.

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Stefan Schreieder. 2018-01-16. Stably irrational hypersurfaces of small slopes. https://doi.org/10.1090/jams/928

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