A note on the CR cohomology of Levi-Flat minimal orbits in complex flag manifolds

dc.creatorAltomani, Andrea
dc.date2006-01-25
dc.date2006-03-04
dc.date.accessioned2026-07-07T12:43:02Z
dc.date.available2026-07-07T12:43:02Z
dc.descriptionWe prove a relation between the $\bar\partial_M$ cohomology of a minimal orbit $M$ of a real form $G_0$ of a complex semisimple Lie group $G$ in a flag manifold $G/Q$ and the Dolbeault cohomology of the Matsuki dual open orbit $X$ of the complexification $K$ of a maximal compact subgroup $K_0$ of $G_0$, under the assumption that $M$ is Levi-flat.
dc.description7 pages, AMS-LaTeX to appear in Rend. Ist. Mat. Univ. Trieste v2: added reference in introduction + minor revision
dc.identifierhttps://arxiv.org/abs/math/0601617
dc.identifierhttp://arxiv.org/abs/math/0601617
dc.identifierRend. Ist. Mat. Univ. Trieste 37, No. 1-2, 283-293 (2005)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/220285
dc.subjectComplex Variables
dc.subjectDifferential Geometry
dc.subject32L10; Secondary: 14M15, 32V30, 32L10 (Primary) 14M15, 32V30, 57T15 (Secondary)
dc.titleA note on the CR cohomology of Levi-Flat minimal orbits in complex flag manifolds
dc.typetext

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