 

Kevin Keating
Formal group law homomorphisms over O_{Cp}


Published: 
October 25, 2009

Keywords: 
padic formal group laws, homomorphisms, Newton polygons 
Subject: 
11S31 


Abstract
Let K be a finite extension of the padic field Q_{p}
and let F(X,Y) and G(X,Y) be onedimensional formal group
laws over the ring of integers O_{K} of K.
Let φ(X) be a homomorphism from F to G
which is defined over the ring of integers
O_{Cp} of the completion C_{p} of
Q_{p}^{ alg}.
In this paper we prove that if ker(φ) is finite then
there is a discretely valued subfield L⊂C_{p}
such that φ(X) is defined over O_{L}.


Author information
Department of Mathematics, University of Florida, Gainesville, FL 32611, USA
keating@ufl.edu

