Hodge decomposition for Cousin groups and for Oeljeklaus-Toma manifolds

• Alexandra Otiman ^[2] ; Matei Toma ^[1]
  1. [1] University of Lorraine

     University of Lorraine

     Arrondissement de Nancy, Francia

     
  2. [2] Università RomaTre, Italia
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 22, Nº 2, 2021, págs. 485-503
• Idioma: inglés
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• Resumen

  • We compute the Dolbeault cohomology of geodesically convex do- mains contained in Cousin groups which satisfy a strong dispersiveness condi- tion. As a consequence we obtain a description of the Dolbeault cohomology of Oeljeklaus-Toma manifolds and in particular the fact that the Hodge decomposi- tion holds for their cohomology.