Variétés homogènes sous $\PGL_n$

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dc.creatorDoray, Franck
dc.date2008-01-24
dc.date.accessioned2026-07-07T08:56:13Z
dc.date.available2026-07-07T08:56:13Z
dc.descriptionLet $A$ be an Azumaya algebra over a field. If $G$ is the group of automorphisms of $A$ and $X$ denotes a projective homogeneous variety under $G$, we construct in a very explicit way and under suitable hypotheses a bundle $\mathcal{V}$ on $S$, where $S$ is a (generalized) Severi-Brauer variety associated to $A$, and a canonical isomorphism between $X$ and a flag bundle on $\mathcal{V}$. This allows to explicitely compute Chow groups of $X$ in terms of the Chow groups of $S$.
dc.description35 pages
dc.identifierhttps://arxiv.org/abs/0801.3811
dc.identifierhttp://arxiv.org/abs/0801.3811
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146537
dc.subjectAlgebraic Geometry
dc.subject14M17;14L35;20G15
dc.titleVariétés homogènes sous $\PGL_n$
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