On Kähler nilmanifolds with top homology in codimension two
2006 ◽
Vol 74
(1)
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pp. 85-90
SupposeGis a connected, complex, nilpotent Lie group and Γ is a discrete subgroup ofGsuch thatG/Γ is Kähler and the top nonvanishing homology group ofG/Γ (with coefficients in ℤ2) is in codimension two or less. We show thatGis then Abelian. We also note that an example from [12] shows that this fails if the top nonvanishing homology is in codimension three.
1994 ◽
Vol 46
(5)
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pp. 897-919
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Keyword(s):
2005 ◽
Vol 16
(09)
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pp. 941-955
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Keyword(s):
2013 ◽
Vol 65
(1)
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pp. 66-81
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Keyword(s):
1994 ◽
Vol 121
(1)
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pp. 307
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2007 ◽
Vol 18
(07)
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pp. 783-795
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1991 ◽
Vol 123
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pp. 103-117
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