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arXiv · 1612.04206

Stable rationality of higher dimensional conic bundles

Hamid Abban·Takuzo Okada
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Abstract

We prove that a very general nonsingular conic bundle $X\rightarrow\mathbb{P}^{n-1}$ embedded in a projective vector bundle of rank $3$ over $\mathbb{P}^{n-1}$ is not stably rational if the anti-canonical divisor of $X$ is not ample and $n\geq 3$.

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Hamid Abban, Takuzo Okada. 2016-12-13. Stable rationality of higher dimensional conic bundles. https://doi.org/10.46298/epiga.2018.volume2.4266

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