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

Takumi 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 -