Analytic variation of p-adic Abelian integrals

被引：0

作者：

Dreier, R ^{[1
]}

机构：

[1] Oklahoma State Univ, Dept Math, Stillwater, OK 74078 USA

来源：

COMPOSITIO MATHEMATICA | 2000年 / 124卷 / 01期

关键词：

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

D O I：

10.1023/A:1002432618607

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 omega and two sections s and t, one can define a function lambda (omega) on S by lambda (omega)(P)=integral (t)((P))(s)((P))omega (P). In this paper, we prove that lambda (omega) is locally analytic on S.

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页码：57 / 63

页数：7

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