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1 results

  • Analytic Variation of p-adic Abelian Integrals

  • Roland Dreier
  • Journal:
    Compositio Mathematica / Volume 124 / Issue 1 / October 2000
    Published online by Cambridge University Press:
    04 December 2007, pp. 57-63
    Print publication:
    October 2000
    • Article
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  • 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.