On special subvarieties of Kuga varieties II

Details On special subvarieties of Kuga varieties II On special subvarieties of Kuga varieties II

2011-12-12

arxiv.org/abs/1112.2634v1

Mathematics

Number Theory

preliminary version

Scientific paper

In this paper we prove the equidistribution of $\Cbf$-special subvarieties in certain Kuga varieties, which implies a special case of the general Andr\'e-Oort conjecture formulated for mixed Shimura varieties proposed by R.Pink. The main idea is to reduce the equidistribution to a theorem of Szpiro-Ullmo-Zhang on small points of abelian varieties and a theorem on the equiditribution of $C$-special subvarieties of Kuga varieties of rigid type treated by the author in a previous paper.

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