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Dolbeault homotopy theory and compact nilmanifolds

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

Banach Center Publications

1998

tom 45

nr 1

137-154

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.

Ograniczanie wyników

1 Banach Center Publications

1 Cordero L. A.

1 Fernández M.

1 Gray A.

1 Ugarte L.

1 1998

Wyniki wyszukiwania

Dolbeault homotopy theory and compact nilmanifolds