Stably irrational hypersurfaces of small slopes

Schreieder, Stefan¹

¹Mathematisches Institut, LMU München, Theresienstr. 39, 80333 München, Germany

Journal of the American Mathematical Society, Tome 32 (2019) no. 4, pp. 1171-1199

Résumé

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 $k$.

Détail

DOI : 10.1090/jams/928

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