On the period map for abelian covers of projective varieties

• Rita Pardini ^[1]
  1. [1] University of Pisa

     University of Pisa

     Pisa, Italia

     
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 26, Nº 4, 1998, págs. 719-735
• Idioma: inglés
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• Resumen

  • We show that infinitesimal Torelli for the period of n-forms holds for abelian covers of algebraic varieties of dimension n > 2, under some explicit ampleness assumptions on the building data of the cover. Moreover, we prove a variational Torelli result for some families of abelian covers.