Special subvarieties arising from families of cyclic covers of the projective line

Open Access
Authors
Publication date 2010
Journal Documenta Mathematica
Volume | Issue number 15
Pages (from-to) 793-819
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
Abstract We consider families of cyclic covers of P-1, where we fix the covering group and the local monodromies and we vary the branch points. We prove that there are precisely twenty such families that give rise to a special subvariety in the moduli space of abelian varieties. Our proof uses techniques in mixed characteristics due to Dwork and Ogus.
Document type Article
Language English
Published at http://www.math.uni-bielefeld.de/documenta/vol-15/24.html
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Moonen_DocMath_2010.pdf (Final published version)
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