• Title of article

    Hilbertʹs Tenth Problem for function fields of varieties over number fields and p-adic fields

  • Author/Authors

    Kirsten Eisentr?ger، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2007
  • Pages
    18
  • From page
    775
  • To page
    792
  • Abstract
    Let k be a subfield of a p-adic field of odd residue characteristic, and let be the function field of a variety of dimension n 1 over k. Then Hilbertʹs Tenth Problem for is undecidable. In particular, Hilbertʹs Tenth Problem for function fields of varieties over number fields of dimension 1 is undecidable.
  • Keywords
    Hilbertיs Tenth Problem , Undecidability , elliptic curves , quadratic forms
  • Journal title
    Journal of Algebra
  • Serial Year
    2007
  • Journal title
    Journal of Algebra
  • Record number

    698017