Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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COMPARISON OF $\rho-ADIC$ THETA FUNCTIONS

  • Sung Sik Woo (Department of Mathematics, Ewha Women\`s University)
  • Published : 2001.08.01
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Abstract

In this paper we investigate how $\rho-adic\;\theta$\theta$-function$ of Neron and Tate are related. As a result, we show that the $\rho-adic$ theta function defined by Neron and that defined by Tate are differ by an analytic function whose values are units.

Keywords

References

  1. p-adic numbers F. Gouvea
  2. Proc. of the AMS 100 On the p-adic heights of some abelian varieties H. Imai
  3. Fundamentals of Diophantine Geometry S. Lang
  4. Progress in Math. v.35 Canonical height pairing via biectensions B. Mazur;J. Tate
  5. Progress in Math v.22 Fonctions theta p-adiques et hauteurs p-adiques A. Neron
  6. Rend. Sci. Mat. v.46 Hauteure et fonction theta A. Neron
  7. Lecture notes in Mathematics A. Robert
  8. Inv. Math v.79 p-adic Height Pairings I P. Schneider
  9. Compo. Math. v.107 Abelian varieties with split multiplicative reduction A. Werner