Rationalité d'un fibré en coniques

Abstract

F. Campana had asked whether a certain threefold is rational. In arXiv:1310.3569v1 [mathAG], this variety was shown to be birational to a specific conic bundle and then to be unirational. We prove that this conic bundle is rational.

in French

Cited by in corpus (3)

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• On the unirationality of higher dimensional Ueno-type manifolds
• Curves with decomposable normal vector bundles and automorphism groups