Hamid Ahmadinezhad ; Takuzo Okada - Stable rationality of higher dimensional conic bundles

epiga:4266 - Épijournal de Géométrie Algébrique, June 12, 2018, Volume 2 - https://doi.org/10.46298/epiga.2018.volume2.4266
Stable rationality of higher dimensional conic bundlesArticle

Authors: Hamid Ahmadinezhad ; Takuzo Okada

    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 $n\geq 3$.

    Volume: Volume 2
    Published on: June 12, 2018
    Accepted on: May 21, 2018
    Submitted on: February 7, 2018
    Keywords: Mathematics - Algebraic Geometry

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