Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-25T16:08:56.141Z Has data issue: false hasContentIssue false

Analytic Variation of p-adic Abelian Integrals

Published online by Cambridge University Press:  04 December 2007

Roland Dreier
Affiliation:
Department of Mathematics, Oklahoma State University, Stillwater, OK 74078, U.S.A. E-mail: [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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.

Type
Research Article
Copyright
© 2000 Kluwer Academic Publishers