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Extensions of abelian varieties defined over a number field

Number Theory 2015-06-29 v3 Algebraic Geometry

Abstract

We study the arithmetic aspects of the finite group of extensions of abelian varieties defined over a number field. In particular, we establish relations with special values of L-functions and congruences between modular forms.

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Cite

@article{arxiv.math/0212050,
  title  = {Extensions of abelian varieties defined over a number field},
  author = {Matthew A. Papanikolas and Niranjan Ramachandran},
  journal= {arXiv preprint arXiv:math/0212050},
  year   = {2015}
}

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11 pages