AHMADINEZHAD, H. and OKADA, T., 2018. Stabe rationality of higher dimensional conic bundles. Epijournal de Geometrie Algebrique, [in press].
We prove that a very general nonsingular conic bundle X → Pn−1 embedded in a projective vector bundle of rank 3 over P
n−1 is not stably rational if the anti-canonical divisor of X is not ample
and n ≥ 3.
This paper is closed access until it is published.