On the action of the unitary group on the projective plane over a local field
1997 ◽
Vol 62
(3)
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pp. 371-397
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Keyword(s):
Rank One
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AbstractLet G be a unitary group of rank one over a non-archimedean local field K (whose residue field has a characteristic ≠ 2). We consider the action of G on the projective plane. A G(K) equivariant map from the set of points in the projective plane that are semistable for every maximal K split torus in G to the set of convex subsets of the building of G(K) is constructed. This map gives rise to an equivariant map from the set of points that are stable for every maximal K split torus to the building. Using these maps one describes a G(K) invariant pure affinoid covering of the set of stable points. The reduction of the affinoid covering is given.
2011 ◽
Vol 9
(3)
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pp. 521-536
2008 ◽
Vol 60
(3)
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pp. 532-555
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Keyword(s):
2017 ◽
Vol 154
(2)
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pp. 410-458
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Keyword(s):
2009 ◽
Vol 8
(4)
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pp. 769-829
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Keyword(s):
1992 ◽
Vol 15
(4)
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pp. 753-756
2010 ◽
Vol 20
(01)
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pp. 27-38
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