Analytic Variation of p-adic Abelian Integrals |
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| Authors: | Roland Dreier |
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| Affiliation: | (1) Department of Mathematics, Oklahoma State University, Stillwater, OK, 74078, U.S.A. |
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| 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  and two sections s and t, one can define a function  on S by (P)= s(P)t(P)P. In this paper, we prove that is locally analytic on S. |
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| Keywords: | p-adic Abelian integrals algebraic families of curves locally analytic variation |
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