Stably irrational hypersurfaces of small slopes

Stefan Schreieder

Stably irrational hypersurfaces of small slopes

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arxiv 1801.05397 v5 pith:RM5GIUUX submitted 2018-01-16 math.AG math.CV

Stefan Schreieder This is my paper · ORCID

classification math.AGmath.CV

keywords stablyalgebraiccharacteristicclosuredegreedifferentdimensionfield

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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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