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 bundles

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: June 11, 2018
Submitted on: February 7, 2018
Keywords: Mathematics - Algebraic Geometry