# Dolbeault homotopy theory and compact nilmanifolds

L. Cordero; M. Fernández; A. Gray; L. Ugarte

Banach Center Publications (1998)

- Volume: 45, Issue: 1, page 137-154
- ISSN: 0137-6934

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topCordero, L., et al. "Dolbeault homotopy theory and compact nilmanifolds." Banach Center Publications 45.1 (1998): 137-154. <http://eudml.org/doc/208898>.

@article{Cordero1998,

abstract = {In this paper we study the degeneration of both the cohomology and the cohomotopy Frölicher spectral sequences in a special class of complex manifolds, namely the class of compact nilmanifolds endowed with a nilpotent complex structure. Whereas the cohomotopy spectral sequence is always degenerate for such a manifold, there exist many nilpotent complex structures on compact nilmanifolds for which the classical Frölicher spectral sequence does not collapse even at the second term.},

author = {Cordero, L., Fernández, M., Gray, A., Ugarte, L.},

journal = {Banach Center Publications},

keywords = {nilmanifolds; cohomology Frölicher spectral sequence; cohomotopy Frölicher spectral sequence; nilpotent complex structure},

language = {eng},

number = {1},

pages = {137-154},

title = {Dolbeault homotopy theory and compact nilmanifolds},

url = {http://eudml.org/doc/208898},

volume = {45},

year = {1998},

}

TY - JOUR

AU - Cordero, L.

AU - Fernández, M.

AU - Gray, A.

AU - Ugarte, L.

TI - Dolbeault homotopy theory and compact nilmanifolds

JO - Banach Center Publications

PY - 1998

VL - 45

IS - 1

SP - 137

EP - 154

AB - In this paper we study the degeneration of both the cohomology and the cohomotopy Frölicher spectral sequences in a special class of complex manifolds, namely the class of compact nilmanifolds endowed with a nilpotent complex structure. Whereas the cohomotopy spectral sequence is always degenerate for such a manifold, there exist many nilpotent complex structures on compact nilmanifolds for which the classical Frölicher spectral sequence does not collapse even at the second term.

LA - eng

KW - nilmanifolds; cohomology Frölicher spectral sequence; cohomotopy Frölicher spectral sequence; nilpotent complex structure

UR - http://eudml.org/doc/208898

ER -

## References

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