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Bounded eqidistribution of special subvarieties in mixed Shimura varieties

Number Theory 2015-03-26 v1

Abstract

In this paper we prove the equidistribution of bounded sequences of special subvarieties in a general mixed Shimura varieties, a notion adapted from the pure case treated by Clozel, Ullmo, and Yafaev in the study of the Andre-Oort conjecture. We also discuss the relation of bounded sequences with bounded Galois orbits of special subvarieties.

Keywords

Cite

@article{arxiv.1503.07332,
  title  = {Bounded eqidistribution of special subvarieties in mixed Shimura varieties},
  author = {Ke Chen},
  journal= {arXiv preprint arXiv:1503.07332},
  year   = {2015}
}

Comments

replaces previous drafts arXiv:1403.2157 and arXiv:1403.5359; to appear in Mathematische Annalen 2015