• Title of article

    Hilbert Modular Threefolds of Arithmetic Genus One, Original Research Article

  • Author/Authors

    H. G. Grundman، نويسنده , , L. E. Lippincott، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2002
  • Pages
    5
  • From page
    72
  • To page
    76
  • Abstract
    In 1981, Weisser proved that there are exactly four Galois cubic number fields with Hilbert modular threefolds of arithmetic genus one. In this paper, we extend Weisserʹs work to cover all cubic number fields. Our main result is that there are exactly 33 fields with Hilbert modular threefolds of arithmetic genus one. These fields are enumerated explicitly.
  • Journal title
    Journal of Number Theory
  • Serial Year
    2002
  • Journal title
    Journal of Number Theory
  • Record number

    715325