manuscripta mathematica

, Volume 62, Issue 2, pp 145–161 | Cite as

On geometric Z p -extensions of function fields

  • R. Gold
  • H. Kisilevsky


Number Theory Algebraic Geometry Topological Group Function Field 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [Cu]
    Cuoco,A.The Growth of Iwasawa Invariants in a Family, Comp. Math. 41,(1980) pp.415–437Google Scholar
  2. [Cu-M]
    Cuoco,A. and Monsky,P.Class Numbers in Z pd-extensions, Math. Ann.225,(1981) pp.235–258Google Scholar
  3. [D-Ma]
    D'MellO,J. and Madan,M.Class Group Rank Relations in Z l-extensions, Manuscripta Math. 41,(1983) pp.75–107Google Scholar
  4. [Iw 1]
    Iwasawa,K.On Z l-extensions of algebraic number fields, Annals of Math. (2),98 (1973) pp. 246–326Google Scholar
  5. [Iw 2]
    Iwasawa,K.On theμ-invariants of Z l-extensions, Number theory, Algebraic Geometry and Commutative Algebra (in honour of Y.Akizuki) Kinokuniya:Tokyo 1973 pp.1–11Google Scholar
  6. [G-K]
    Gold,R. and Kisilevsky,H.Z p-extensions of Number Fields, to appear, Proceedings of the Laval Conference, 1987Google Scholar
  7. [Ko]
    Kornblum,H.Uber die Primfunktionen in einer Arithmetischen Progression. Math. Zeit. 5,(1919) pp.100–111Google Scholar
  8. [Le]
    Leopoldt, H.W.Zur Geschlechtertheorie in Abelschen Zahlkōrpern, Math.Nach. 9, (1953) pp.351–362Google Scholar
  9. [M-Ma]
    Madan, M.L. and Madden, D.On the Theory of Congruence Function Fields, Comm. in Algebra 8 (17), (1980) pp.1687–1697Google Scholar
  10. [Ma]
    Madan, M.L.On a Theorem of M.Deuring and I.R.Shafarevic, Manuscripta Math. 23,(1979) pp.91–102Google Scholar
  11. [Ro 1]
    Rosen, M.Ambiguous Divisor Classes in Function Fields, Journal of Number Theory 9,(1977) pp.160–174Google Scholar
  12. [Ro 2]
    Rosen, M.Some Remarks on the p-rank of an Algebraic Curve, Arch. der Math. 41,(1983) pp.143–146Google Scholar
  13. [Se]
    Serre, J.P.Corps locaux, Hermann, Paris 1963Google Scholar
  14. [Wa]
    Washington, L.Introduction to Cyclotomic Fields, Springer-Verlag, GTM 83,1982Google Scholar

Copyright information

© Springer-Verlag 1988

Authors and Affiliations

  • R. Gold
    • 1
  • H. Kisilevsky
    • 1
  1. 1.Department of MathematicsOhio State UniversityColumbusUSA

Personalised recommendations