Duality of Hodge numbers of compact complex nilmanifolds
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.
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De Gruyter
2015-12-01
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| Series: | Complex Manifolds |
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| Online Access: | http://www.degruyter.com/view/j/coma.2015.2.issue-1/coma-2015-0012/coma-2015-0012.xml?format=INT |
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doaj-add6c1920f1449f8adf66bb2a75d6eb92020-11-25T01:06:00ZengDe GruyterComplex Manifolds2300-74432015-12-012110.1515/coma-2015-0012coma-2015-0012Duality of Hodge numbers of compact complex nilmanifoldsYamada Takumi0Department of Mathematics, Shimane University, Nishikawatsu-cho 1060, Matsue, 690-8504, JapanA 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.http://www.degruyter.com/view/j/coma.2015.2.issue-1/coma-2015-0012/coma-2015-0012.xml?format=INTnilmanifold Dolbeault cohomology group complex structure |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Yamada Takumi |
| spellingShingle |
Yamada Takumi Duality of Hodge numbers of compact complex nilmanifolds Complex Manifolds nilmanifold Dolbeault cohomology group complex structure |
| author_facet |
Yamada Takumi |
| author_sort |
Yamada Takumi |
| title |
Duality of Hodge numbers of compact
complex nilmanifolds |
| title_short |
Duality of Hodge numbers of compact
complex nilmanifolds |
| title_full |
Duality of Hodge numbers of compact
complex nilmanifolds |
| title_fullStr |
Duality of Hodge numbers of compact
complex nilmanifolds |
| title_full_unstemmed |
Duality of Hodge numbers of compact
complex nilmanifolds |
| title_sort |
duality of hodge numbers of compact
complex nilmanifolds |
| publisher |
De Gruyter |
| series |
Complex Manifolds |
| issn |
2300-7443 |
| publishDate |
2015-12-01 |
| description |
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. |
| topic |
nilmanifold Dolbeault cohomology group complex structure |
| url |
http://www.degruyter.com/view/j/coma.2015.2.issue-1/coma-2015-0012/coma-2015-0012.xml?format=INT |
| work_keys_str_mv |
AT yamadatakumi dualityofhodgenumbersofcompactcomplexnilmanifolds |
| _version_ |
1715856144878010368 |