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ArticleOriginal scientific text

Title

Dolbeault homotopy theory and compact nilmanifolds

Authors 1, 2, 3, 4

Affiliations

  1. Departamento de Geometría y Topología, Facultad de Matemáticas, Universidad de Santiago de Compostela, 15705 Santiago de Compostela, Spain
  2. Departamento de Matemáticas, Facultad de Ciencias, Universidad del País Vasco, Apartado 644, 48080 Bilbao, Spain
  3. Department of Mathematics, University of Maryland, College Park, Maryland 20742, U.S.A.
  4. Departamento de Matemáticas (Geometría y Topología), Facultad de Ciencias, Universidad de Zaragoza, Campus Plaza San Francisco, 50009 Zaragoza, Spain

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.

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Banach Center Publications
1998/45/1
Export to PBN, Opens in new tab
Pages:
137-154
Main language of publication
English
Published
1998
Exact and natural sciences