On the period map for abelian covers of algebraic varieties

Rita Pardini

On the period map for abelian covers of algebraic varieties

alg-geom 2008-02-03 v1 Algebraic Geometry

Authors: Rita Pardini

Abstract

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.

Keywords

period map abelian covers Torelli theorem variational Torelli ampleness conditions

Cite

@article{arxiv.alg-geom/9606002,
  title  = {On the period map for abelian covers of algebraic varieties},
  author = {Rita Pardini},
  journal= {arXiv preprint arXiv:alg-geom/9606002},
  year   = {2008}
}

Comments

LaTeX, 17 pages

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