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  1. 4 Complex Manifolds

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  1. 4 Yamada T.

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  1. 1 2017

  2. 2 2016

  3. 1 2015

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1
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Remarks on Hodge numbers and invariant complex structures of compact nilmanifolds

100%
Yamada T.
Complex Manifolds
|
2016
|
tom 3
|
nr 1
EN
If N is a simply connected real nilpotent Lie group with a Γ-rational complex structure, where Γ is a lattice in N, then [...] for each s, t.We study relations between invariant complex structures and Hodge numbers of compact nilmanifolds from a viewpoint of Lie algberas.
2
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Hodge numbers and invariant complex structures of compact nilmanifolds

100%
Yamada T.
Complex Manifolds
|
2016
|
tom 3
|
nr 1
EN
In this paper, we consider several invariant complex structures on a compact real nilmanifold, and we study relations between invariant complex structures and Hodge numbers.
3
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Duality of Hodge numbers of compact complex nilmanifolds

100%
Yamada T.
Complex Manifolds
|
2015
|
tom 2
|
nr 1
EN
A compact K¨ahlerian manifoldM of dimension n satisfies hp,q(M) = hq,p(M) for each p, q.However, a compact complex manifold does not satisfy the equations in general. In this paper, we consider duality of Hodge numbers of compact complex nilmanifolds.
4
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Some relations between Hodge numbers and invariant complex structures on compact nilmanifolds

100%
Yamada T.
Complex Manifolds
|
2017
|
tom 4
|
nr 1
73-83
EN
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 complexification and the scalar restriction. We investigate relationships to Hodge numbers of associated compact complex nilmanifolds.
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