The Kuranishi space of complex parallelisable nilmanifolds

Rollenske, Sönke. "The Kuranishi space of complex parallelisable nilmanifolds." Journal of the European Mathematical Society 013.3 (2011): 513-531. <http://eudml.org/doc/277483>.

@article{Rollenske2011,
abstract = {We show that the deformation space of complex parallelisable nilmanifolds can be described by polynomial equations but is almost never smooth. This is remarkable since these manifolds have trivial canonical bundle and are holomorphic symplectic in even dimension. We describe the Kuranishi space in detail in several examples and also analyse when small deformations remain complex parallelisable.},
author = {Rollenske, Sönke},
journal = {Journal of the European Mathematical Society},
keywords = {complex parallelisable; nilmanifold; Kuranishi space; nilpotent Lie algebra; nilmanifold; Kuranishi space; small deformations; complex parallelizable},
language = {eng},
number = {3},
pages = {513-531},
publisher = {European Mathematical Society Publishing House},
title = {The Kuranishi space of complex parallelisable nilmanifolds},
url = {http://eudml.org/doc/277483},
volume = {013},
year = {2011},
}

TY - JOUR
AU - Rollenske, Sönke
TI - The Kuranishi space of complex parallelisable nilmanifolds
JO - Journal of the European Mathematical Society
PY - 2011
PB - European Mathematical Society Publishing House
VL - 013
IS - 3
SP - 513
EP - 531
AB - We show that the deformation space of complex parallelisable nilmanifolds can be described by polynomial equations but is almost never smooth. This is remarkable since these manifolds have trivial canonical bundle and are holomorphic symplectic in even dimension. We describe the Kuranishi space in detail in several examples and also analyse when small deformations remain complex parallelisable.
LA - eng
KW - complex parallelisable; nilmanifold; Kuranishi space; nilpotent Lie algebra; nilmanifold; Kuranishi space; small deformations; complex parallelizable
UR - http://eudml.org/doc/277483
ER -