# Bounded equidistribution of special subvarieties I

Source: [Bounded equidistribution of special subvarieties I](<https://www.sota2.com/research/paper/68fa50d01e209131ce96ec1f>)

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

Data updated: 2025-10-25T11:04:35.546Z

Authors: K. Chen

Published: 2014-03-10T08:09:34.000Z

## Abstract

In this paper, we prove the bounded case of the Andre-Oort conjecture for special subvarieties in a mixed Shimura variety. This generalizes previous results of L. Clozel, E. Ullmo, and A. Yafaev. The proof is reduced to a special case of the equidistribution conjecture for mixed Shimura varieties. The main tool is a theorem of S. Mozes and N. Shah for certain measures on lattice spaces.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1403.2157>)

[PDF](<https://arxiv.org/pdf/1403.2157.pdf>)