Elliptic minuscule pairs and splitting abelian varieties
Number Theory
2015-07-01 v3
Abstract
We partially answer, in terms of monodromy, Murty and Patankar's question: Given an absolutely simple abelian variety over a number field, does it have simple specializations at a set of places of positive Dirichlet density? The answer is based on the classification of pairs (G,V) consisting of a semi-simple algebraic group G over a non-archimedean local field and an absolutely irreducible representation V of G such that G admits a maximal torus acting irreducibly on V.
Keywords
Cite
@article{arxiv.1211.4286,
title = {Elliptic minuscule pairs and splitting abelian varieties},
author = {V. Kumar Murty and Ying Zong},
journal= {arXiv preprint arXiv:1211.4286},
year = {2015}
}
Comments
This is the final version, 61 p