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Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics >
Rendiconti dell' Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.37 (2005) >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10077/4155
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| Title: | A Note on the CR Cohomology of Levi-Flat Minimal Orbits in Complex Flag Manifolds |
| Authors: | Altomani, Andrea |
| Keywords: | Cohomology
Cauchy-Riemann complex
Levi-flat
Homogeneous CR manifold
Minimal orbit in a flag manifold |
| Issue Date: | 2005 |
| Publisher: | Università degli Studi di Trieste. Dipartimento di Matematica e Informatica |
| Citation: | Andrea Altomani, "A Note on the CR Cohomology of Levi-Flat Minimal Orbits in Complex Flag Manifolds", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 37 (2005), pp. 283-293. |
| Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
37 (2005) |
| Abstract: | We prove a relation between the $\bar{\partial}_{M}$ cohomology of
a minimal orbit of M of a real form of $\mathbf{G}_{0}$ of a complex
semisimple Lie group $\mathbf{G}$ in a flag manifold $\mathbf{G}/\mathbf{Q}$
and the Dolbeault cohomology of the Matsuki dual open orbit X of the
complexification $\mathbf{K}$ of a maximal compact subgroup $\mathbf{K}_{0}$
of $\mathbf{G}_{0}$, under the assumption that M is Levi-flat. |
| URI: | http://hdl.handle.net/10077/4155 |
| ISSN: | 0049-4704 |
| MS Classification: | 32L10
14M15
32V30
57T15 |
| Appears in Collections: | Rendiconti dell' Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.37 (2005)
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