Remarks on Hodge numbers and invariant complex structures of compact nilmanifolds
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.
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De Gruyter
2016-11-01
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| Series: | Complex Manifolds |
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| Online Access: | http://www.degruyter.com/view/j/coma.2016.3.issue-1/coma-2016-0014/coma-2016-0014.xml?format=INT |
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doaj-df0149d89df04c76980fd78e16754b532020-11-25T00:40:01ZengDe GruyterComplex Manifolds2300-74432016-11-013110.1515/coma-2016-0014coma-2016-0014Remarks on Hodge numbers and invariant complex structures of compact nilmanifoldsYamada Takumi0Department of Mathematics, Shimane University, Nishikawatsu-cho 1060, Matsue, 690-8504, JapanIf 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.http://www.degruyter.com/view/j/coma.2016.3.issue-1/coma-2016-0014/coma-2016-0014.xml?format=INTnilmanifold Dolbeault cohomology group complex structure |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Yamada Takumi |
| spellingShingle |
Yamada Takumi Remarks on Hodge numbers and invariant complex structures of compact nilmanifolds Complex Manifolds nilmanifold Dolbeault cohomology group complex structure |
| author_facet |
Yamada Takumi |
| author_sort |
Yamada Takumi |
| title |
Remarks on Hodge numbers and invariant
complex structures of compact nilmanifolds |
| title_short |
Remarks on Hodge numbers and invariant
complex structures of compact nilmanifolds |
| title_full |
Remarks on Hodge numbers and invariant
complex structures of compact nilmanifolds |
| title_fullStr |
Remarks on Hodge numbers and invariant
complex structures of compact nilmanifolds |
| title_full_unstemmed |
Remarks on Hodge numbers and invariant
complex structures of compact nilmanifolds |
| title_sort |
remarks on hodge numbers and invariant
complex structures of compact nilmanifolds |
| publisher |
De Gruyter |
| series |
Complex Manifolds |
| issn |
2300-7443 |
| publishDate |
2016-11-01 |
| description |
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. |
| topic |
nilmanifold Dolbeault cohomology group complex structure |
| url |
http://www.degruyter.com/view/j/coma.2016.3.issue-1/coma-2016-0014/coma-2016-0014.xml?format=INT |
| work_keys_str_mv |
AT yamadatakumi remarksonhodgenumbersandinvariantcomplexstructuresofcompactnilmanifolds |
| _version_ |
1716132911567077376 |