On the period map for abelian covers of algebraic varieties

Details On the period map for abelian covers of algebraic varieties On the period map for abelian covers of algebraic varieties

1996-06-06

arxiv.org/abs/alg-geom/9606002v1

Mathematics

Algebraic Geometry

LaTeX, 17 pages

Scientific paper

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.

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