Mordell-Weil growth for GL2-type abelian varieties over Hilbert class fields of CM fields
Number Theory
2010-06-14 v2 Spectral Theory
Abstract
Let A be a modular abelian variety of GL2-type over a totally real field F of class number one. Under some mild assumptions, we show that the Mordell-Weil rank of A grows polynomially over Hilbert class fields of CM extensions of F.
Keywords
Cite
@article{arxiv.1005.4700,
title = {Mordell-Weil growth for GL2-type abelian varieties over Hilbert class fields of CM fields},
author = {David Hansen},
journal= {arXiv preprint arXiv:1005.4700},
year = {2010}
}
Comments
13 pages; small changes and corrections made in v2; comments and corrections welcome