# On special subvarieties of Kuga varieties II

Source: [On special subvarieties of Kuga varieties II](<https://www.sota2.com/research/paper/68fa4f811e209131ce963c98>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T10:20:46.133Z

Authors: K. Chen

Published: 2011-12-12T17:38:08.000Z

## Abstract

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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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1112.2634>)

[PDF](<https://arxiv.org/pdf/1112.2634.pdf>)