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math.NTDec 1, 2002
authors
  • Matthew A. Papanikolas
  • Niranjan Ramachandran
institutions
  • Max Planck Institute for Mathematics
  • Texas A&M University
  • University of Maryland, College Park
arXiv abstractPDF
paper

Extensions of abelian varieties defined over a number field

arXiv:math/0212050 · doi:10.1016/j.jnt.2004.08.005

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.

11 pages

References in corpus (2)

  • A Weil-Barsotti formula for Drinfeld modules
  • Integral Motives and Special Values of Zeta Functions
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