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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Autor principal:	Yamada Takumi
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2017
Materias:	nilmanifold dolbeault cohomology group complex structure 53c30 22e25 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/8adb3cad5d3c4186bb689b384fb9b8a3
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spelling	oai:doaj.org-article:8adb3cad5d3c4186bb689b384fb9b8a32021-12-02T19:07:56ZSome relations between Hodge numbers and invariant complex structures on compact nilmanifolds2300-744310.1515/coma-2017-0006https://doaj.org/article/8adb3cad5d3c4186bb689b384fb9b8a32017-02-01T00:00:00Zhttps://doi.org/10.1515/coma-2017-0006https://doaj.org/toc/2300-7443Let 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.Yamada TakumiDe Gruyterarticlenilmanifolddolbeault cohomology groupcomplex structure53c3022e25MathematicsQA1-939ENComplex Manifolds, Vol 4, Iss 1, Pp 73-83 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	nilmanifold dolbeault cohomology group complex structure 53c30 22e25 Mathematics QA1-939
spellingShingle	nilmanifold dolbeault cohomology group complex structure 53c30 22e25 Mathematics QA1-939 Yamada Takumi Some relations between Hodge numbers and invariant complex structures on compact nilmanifolds
description	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.
format	article
author	Yamada Takumi
author_facet	Yamada Takumi
author_sort	Yamada Takumi
title	Some relations between Hodge numbers and invariant complex structures on compact nilmanifolds
title_short	Some relations between Hodge numbers and invariant complex structures on compact nilmanifolds
title_full	Some relations between Hodge numbers and invariant complex structures on compact nilmanifolds
title_fullStr	Some relations between Hodge numbers and invariant complex structures on compact nilmanifolds
title_full_unstemmed	Some relations between Hodge numbers and invariant complex structures on compact nilmanifolds
title_sort	some relations between hodge numbers and invariant complex structures on compact nilmanifolds
publisher	De Gruyter
publishDate	2017
url	https://doaj.org/article/8adb3cad5d3c4186bb689b384fb9b8a3
work_keys_str_mv	AT yamadatakumi somerelationsbetweenhodgenumbersandinvariantcomplexstructuresoncompactnilmanifolds
_version_	1718377162972594176

Some relations between Hodge numbers and invariant complex structures on compact nilmanifolds

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