Compositio Mathematica

, Volume 124, Issue 1, pp 57–63

Analytic Variation of p-adic Abelian Integrals

  • Roland Dreier

DOI: 10.1023/A:1002432618607

Cite this article as:
Dreier, R. Compositio Mathematica (2000) 124: 57. doi:10.1023/A:1002432618607


In Ann. of Math.121 (1985), 111–168, Coleman defines p-adic Abelian integrals on curves. Given a family of curves X/S, a differential ω and two sections s and t, one can define a function λω on S by λω(P)=\({\int {}}\)s(P)t(P)ωP. In this paper, we prove that λω is locally analytic on S.

p-adic Abelian integrals algebraic families of curves locally analytic variation 

Copyright information

© Kluwer Academic Publishers 2000

Authors and Affiliations

  • Roland Dreier
    • 1
  1. 1.Department of MathematicsOklahoma State UniversityStillwaterU.S.A.

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