Irreducibility of Newton strata in ${GU}(1,n-1)$ Shimura varieties

Let 𝐿 be a quadratic imaginary field, inert at the rational prime 𝑝. Fix an integer 𝑛≥3, and let ℳ be the moduli space (in characteristic 𝓅) of principally polarized abelian varieties of dimension 𝓃 equipped with an action by 𝒪_{ℒ} of signature (1,𝓃-1). We show that e...

Full description

Bibliographic Details
Main Author: Jeffrey D. Achter
Format: Article
Language:English
Published: American Mathematical Society 2014-08-01
Series:Proceedings of the American Mathematical Society, Series B
Online Access:http://www.ams.org/bproc/2014-01-08/S2330-1511-2014-00011-0/