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Stable rationality of higher dimensional conic bundles
journal contribution
posted on 2018-06-05, 15:31 authored by Hamid Abban, Takuzo OkadaWe 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.
History
School
- Science
Department
- Mathematical Sciences
Published in
Épijournal de Géométrie AlgébriqueCitation
AHMADINEZHAD, H. and OKADA, T., 2018. Stable rationality of higher dimensional conic bundles. Epijournal de Geometrie Algebrique, 2:5.Publisher
Episciences © The AuthorsVersion
- AM (Accepted Manuscript)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-ShareAlike 4.0 International (CC BY-SA 4.0) licence. Full details of this licence are available at: http://creativecommons.org/licenses/by-sa/4.0/Acceptance date
2018-05-21Publication date
2018Notes
This is an Open Access Article. It is published by Episciences under the Creative Commons Attribution-ShareAlike 4.0 International (CC BY-SA 4.0) licence. Full details of this licence are available at: http://creativecommons.org/licenses/by-sa/4.0/ISSN
2491-6765Publisher version
Language
- en