Locally symmetric families of curves and jacobians

Mathematics – Algebraic Geometry

Scientific paper

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15 pages, AMS-LaTeX. This has appeared in the book Moduli of Curves and Abelian Varieties, edited by Carel Faber and Eduard Lo

Scientific paper

This paper addresses the following question of Oort: "Are there any postive
dimensional locally symmetric subvarieties of the moduli space of abelian
varieties that are contained in the jacobian locus and contain the jacobian of
at least one smooth curve? Some partial results are given.

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