Authors
Citation
R. Dreier, Analytic variation of p-adic Abelian integrals, COMP MATH, 124(1), 2000, pp. 57-63
Citations number
4
Categorie Soggetti
Mathematics
Journal title
COMPOSITIO MATHEMATICA
ISSN journal
0010437X
→ ACNP
Volume
124
Issue
1
Year of publication
2000
Pages
57 - 63
Database
ISI
SICI code
0010-437X(200010)124:1<57:AVOPAI>2.0.ZU;2-D
Abstract
In Ann. of Math. 121 (1985), 111-168, Coleman defines p-adic Abelian integr
als on curves. Given a family of curves X/S, a differential omega and two s
ections s and t, one can define a function lambda (omega) on S by lambda (o
mega)(P)=integral (t)((P))(s)((P))omega (P). In this paper, we prove that l
ambda (omega) is locally analytic on S.