Some relations between Hodge numbers and invariant complex structures on compact nilmanifolds
Let N be a simply connected real nilpotent Lie group, n its Lie algebra, and € a lattice in N. If a left-invariant complex structure on N is Γ-rational, then HƏ̄s,t(Γ/N) ≃ HƏ̄s,t(nC) for each s; t. We can construct different left-invariant complex structures on one nilpotent Lie group by using the c...
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| Format: | Article |
| Language: | English |
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De Gruyter
2017-02-01
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| Series: | Complex Manifolds |
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| Online Access: | https://doi.org/10.1515/coma-2017-0006 |