Geodesic
The Kuranishi space of complex parallelisable nilmanifolds
Journal of the European Mathematical Society, Tome 13 (2011) no. 3, pp. 513-531 Cet article a éte moissonné depuis la source EMS Press

Voir la notice de l'article

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.
DOI : 10.4171/jems/260
Classification : 32-XX, 17-XX, 53-XX, 00-XX
Keywords: Complex parallelisable, nilmanifold, Kuranishi space, nilpotent Lie algebra 
@article{JEMS_2011_13_3_a0,
     author = {S\"onke Rollenske},
     title = {The {Kuranishi} space of complex parallelisable nilmanifolds},
     journal = {Journal of the European Mathematical Society},
     pages = {513--531},
     year = {2011},
     volume = {13},
     number = {3},
     doi = {10.4171/jems/260},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/260/}
}
TY  - JOUR
AU  - Sönke Rollenske
TI  - The Kuranishi space of complex parallelisable nilmanifolds
JO  - Journal of the European Mathematical Society
PY  - 2011
SP  - 513
EP  - 531
VL  - 13
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4171/jems/260/
DO  - 10.4171/jems/260
ID  - JEMS_2011_13_3_a0
ER  - 
%0 Journal Article
%A Sönke Rollenske
%T The Kuranishi space of complex parallelisable nilmanifolds
%J Journal of the European Mathematical Society
%D 2011
%P 513-531
%V 13
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4171/jems/260/
%R 10.4171/jems/260
%F JEMS_2011_13_3_a0
Sönke Rollenske. The Kuranishi space of complex parallelisable nilmanifolds. Journal of the European Mathematical Society, Tome 13 (2011) no. 3, pp. 513-531. doi: 10.4171/jems/260

Cité par Sources :