Mordell-Weil growth for GL2-type abelian varieties over Hilbert class fields of CM fields

Details Mordell-Weil growth for GL2-type abelian varieties over Hilbert class fields of CM fields Mordell-Weil growth for GL2-type abelian varieties over Hilbert class fields of CM fields

2010-05-25

arxiv.org/abs/1005.4700v2

Mathematics

Number Theory

13 pages; small changes and corrections made in v2; comments and corrections welcome

Scientific paper

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.

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