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.
引用
收藏
页码：57 / 63
页数：7
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