Quasitriviality of the Forms of Segre Varieties

dc.creatorZak, Nikolay
dc.date2007-08-18
dc.date.accessioned2026-07-07T08:24:16Z
dc.date.available2026-07-07T08:24:16Z
dc.descriptionWe prove the rationality of a $\k$-form $X$ of the product $S$ of projective spaces provided the existence of a $\k$-point on $X$. The method of the proof is to find a Galois-invariant birational projection of $S$ to the projective space. This method also allows to prove the quasitriviality of the forms of the hyperplane sections of some Segre varieties.
dc.identifierhttps://arxiv.org/abs/0708.2492
dc.identifierhttp://arxiv.org/abs/0708.2492
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136288
dc.subjectAlgebraic Geometry
dc.titleQuasitriviality of the Forms of Segre Varieties
dc.typetext

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