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Mordell-Weil growth for GL2-type abelian varieties over Hilbert class fields of CM fields (1005.4700v2)
Published 25 May 2010 in math.NT and math.SP
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.
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