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Hilbert 2-class field towers of imaginary quadratic function fields

정환엽
대한수학회 (The Korean Mathematical Society)|2013.05|대한수학회보 (Bulletin of the KMS)|제50권 제3호|pp. 1049-1060

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참고문헌

키워드

Hilbert 2-class field towerimaginary quadratic function field
주제분류수학

초록

In this paper we study the infiniteness of Hilbert 2-class field towers of imaginary quadratic function fields over Fq(T), where q is a power of an odd prime number.

Abstract

In this paper we study the infiniteness of Hilbert 2-class field towers of imaginary quadratic function fields over Fq(T), where q is a power of an odd prime number.

참고문헌 (10)

  1. S. Bae, "The generalized R´edei matrix for function fields", Finite Fields Appl, 18(4), pp.760~780 (2012)
  2. F. Gerth, "Quadratic fields with infinite Hilbert 2-class field towers", Acta. Arith, 106(2), pp.151~158 (2003)
  3. F. Hajir, "On a theorem of Koch", Pacific J. Math, 176(1), pp.15~18 (1996)
  4. F. Hajir, "Correction to “On a theorem of Koch”", Pacific J. Math, 196(2), pp.507~508 (2000)
  5. H. Koch, "¨Uber den 2-Klassenk¨orperturm eines quadratischen Zahlkorpers", J. Reine Angew. Math, 214, pp.201~206 (1964)
  6. J. Martinet, "Tours de corps de classes et estimations de discriminants", Invent. Math, 44(1), pp.65~73 (1978)
  7. M. Rosen, "The Hilbert class field in function fields", Exposition. Math, 5(4), pp.365~378 (1987)
  8. M. Rosen, "Number Theory in Function Fields, In Graduate Texts in Mathematics, 210" (2002), Springer-Verlag
  9. R. Schoof, "Algebraic curves over F2 with many rational points", J. Number Theory, 41(1), pp.6~14 (1992)
  10. C. Wittmann, "Densities for 4-ranks of quadratic function fields", J. Number Theory, 129(10), pp.2635~2645 (2009)

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