Stably irrational hypersurfaces of small slopes

Schreieder, Stefan

doi:10.1090/jams/928

Stably irrational hypersurfaces of small slopes
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by Stefan Schreieder

J. Amer. Math. Soc. 32 (2019), 1171-1199

DOI: https://doi.org/10.1090/jams/928

Published electronically: August 1, 2019

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Abstract:

Let $k$ be an uncountable field of characteristic different from two. We show that a very general hypersurface $X\subset \mathbb {P}^{N+1}_k$ of dimension $N\geq 3$ and degree at least $\log _2N +2$ is not stably rational over the algebraic closure of $k$.

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