The locus of real multiplication and the Schottky locus

Details The locus of real multiplication and the Schottky locus The locus of real multiplication and the Schottky locus

2011-07-19

arxiv.org/abs/1107.3832v2

Mathematics

Algebraic Geometry

Introduction modified

Scientific paper

We prove that the generic point of a Hilbert modular four-fold is not a
Jacobian. The proof uses degeneration techniques and is independent of
properties of the mapping class group used in preceding papers on locally
symmetric subvarieties of the moduli space of abelian varieties contained in
the Schottky locus.

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