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A very general quartic double fourfold is not stably rational

Yuri Tschinkel

Algebraic geometry · 2019 · 24 citations · 5 references

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Abstract

We prove that a very general double cover of the projective four-space, ramified in a quartic threefold, is not stably rational.

References

5

Unirational threefolds with no universal codimension $$2$$ 2 cycle

Claire Voisin · Inventiones mathematicae · 2014 · 153 citations · Full text

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Stable rationality of quadric surface bundles over surfaces

Brendan Hassett, Alena Pirutka, Yuri Tschinkel · Acta Mathematica · 2018 · 51 citations · Full text

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A VERY GENERAL SEXTIC DOUBLE SOLID IS NOT STABLY RATIONAL

2015 · 36 citations

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Cyclic covers that are not stably rational

J-L Colliot-Thélène, Alena Pirutka · Izvestiya Mathematics · 2016 · 30 citations

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Stable Rationality of Cyclic Covers of Projective Spaces

Takuzo Okada · Proceedings of the Edinburgh Mathematical Society · 2019 · 22 citations · Full text

, , +8