Nilpotent complex structures
- A. Gray
- Luis Angel Cordero Rego
- Manuel Fernández García-Hierro
- Luis Ugarte Vilumbrales
ISSN: 1578-7303
Year of publication: 2001
Volume: 95
Issue: 1
Pages: 45-56
Type: Article
More publications in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas ( RACSAM )
Abstract
This paper is a survey on some recent results about nilpotent complex structures _ on compact nilmanifolds. We deal with the classi_cation problem of compact nilmanifolds admitting such a _ , the study of a Dolbeault minimal model and its formality, and the construction of nilpotent complex structures for which the Fr¿olicher spectral sequence does not collapse at the second term.