On the period map for abelian covers of algebraic varieties
Abstract
Description
We show that infinitesimal Torelli for $n$-forms holds for abelian covers of algebraic varieties of dimension $n\ge 2$, 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.
LaTeX, 17 pages
LaTeX, 17 pages