Corpus ID: 34589110

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

@article{Hansen2010MordellWeilGF,
  title={Mordell-Weil growth for GL2-type abelian varieties over Hilbert class fields of CM fields},
  author={D. Hansen},
  journal={arXiv: Number Theory},
  year={2010}
}
  • D. Hansen
  • Published 2010
  • Mathematics
  • arXiv: Number Theory
  • 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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