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

Complex Manifolds (2017)

- Volume: 4, Issue: 1, page 73-83
- ISSN: 2300-7443

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topTakumi Yamada. "Some relations between Hodge numbers and invariant complex structures on compact nilmanifolds." Complex Manifolds 4.1 (2017): 73-83. <http://eudml.org/doc/288302>.

@article{TakumiYamada2017,

abstract = {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.},

author = {Takumi Yamada},

journal = {Complex Manifolds},

keywords = {Nilmanifold; Dolbeault cohomology group; Complex structure},

language = {eng},

number = {1},

pages = {73-83},

title = {Some relations between Hodge numbers and invariant complex structures on compact nilmanifolds},

url = {http://eudml.org/doc/288302},

volume = {4},

year = {2017},

}

TY - JOUR

AU - Takumi Yamada

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

JO - Complex Manifolds

PY - 2017

VL - 4

IS - 1

SP - 73

EP - 83

AB - 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.

LA - eng

KW - Nilmanifold; Dolbeault cohomology group; Complex structure

UR - http://eudml.org/doc/288302

ER -

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