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Analytic Variation of p-adic Abelian Integrals
Published online by Cambridge University Press: 04 December 2007
Abstract
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.
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- © 2000 Kluwer Academic Publishers