Abelian complex structures on 6-dimensional compact nilmanifolds
Cordero, Luis A. ; Fernández, Marisa ; Ugarte, Luis
Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002), p. 215-229 / Harvested from Czech Digital Mathematics Library
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We classify the $6$-dimensional compact nilmanifolds that admit abelian complex structures, and for any such complex structure $J$ we describe the space of symplectic forms which are compatible with $J$.

Publié le : 2002-01-01
Classification:  17B30,  53C15,  53C30,  53D05 
@article{119315,
     author = {Luis A. Cordero and Marisa Fern\'andez and Luis Ugarte},
     title = {Abelian complex structures on 6-dimensional compact nilmanifolds},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {43},
     year = {2002},
     pages = {215-229},
     zbl = {1078.53020},
     mrnumber = {1922123},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119315}
}

Cordero, Luis A.; Fernández, Marisa; Ugarte, Luis. Abelian complex structures on 6-dimensional compact nilmanifolds. Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002) pp. 215-229. http://gdmltest.u-ga.fr/item/119315/

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