• Title of article

    Torsion of abelian varieties over large algebraic fields

  • Author/Authors

    Wulf-Dieter Geyer، نويسنده , , Moshe Jarden، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2005
  • Pages
    28
  • From page
    123
  • To page
    150
  • Abstract
    We prove: Let A be an abelian variety over a number field K. Then K has a finite Galois extension L such that for almost all σ Gal(L) there are infinitely many prime numbers l with . Here denotes the algebraic closure of K and the fixed field in of σ. The expression “almost all σ” means “all but a set of σ of Haar measure 0”.
  • Keywords
    Torsion of abelian varieties , linear algebraic groups , Mumford-Tate group
  • Journal title
    Finite Fields and Their Applications
  • Serial Year
    2005
  • Journal title
    Finite Fields and Their Applications
  • Record number

    701161