Remarks on Hodge numbers and invariant complex structures of compact nilmanifolds

Takumi Yamada

Complex Manifolds (2016)

  • Volume: 3, Issue: 1, page 271-281
  • ISSN: 2300-7443

Abstract

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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.

How to cite

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Takumi Yamada. "Remarks on Hodge numbers and invariant complex structures of compact nilmanifolds." Complex Manifolds 3.1 (2016): 271-281. <http://eudml.org/doc/287101>.

@article{TakumiYamada2016,
abstract = {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.},
author = {Takumi Yamada},
journal = {Complex Manifolds},
keywords = {nilmanifold; Dolbeault cohomology group; complex structure},
language = {eng},
number = {1},
pages = {271-281},
title = {Remarks on Hodge numbers and invariant complex structures of compact nilmanifolds},
url = {http://eudml.org/doc/287101},
volume = {3},
year = {2016},
}

TY - JOUR
AU - Takumi Yamada
TI - Remarks on Hodge numbers and invariant complex structures of compact nilmanifolds
JO - Complex Manifolds
PY - 2016
VL - 3
IS - 1
SP - 271
EP - 281
AB - 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.
LA - eng
KW - nilmanifold; Dolbeault cohomology group; complex structure
UR - http://eudml.org/doc/287101
ER -

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