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1 results

  • Homomorphisms of abelian varieties over geometric fields of finite characteristic

  • Yuri G. Zarhin
  • Journal:
    Journal of the Institute of Mathematics of Jussieu / Volume 12 / Issue 2 / April 2013
    Published online by Cambridge University Press:
    16 May 2012, pp. 225-236
    Print publication:
    April 2013
    • Article
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  • We study analogues of Tate’s conjecture on homomorphisms for abelian varieties when the ground field is finitely generated over an algebraic closure of a finite field. Our results cover the case of abelian varieties without non-trivial endomorphisms.