Formal group law homomorphisms over <i>O</i><sub><b>C</b><sub>p</sub></sub>

نویسنده

  • Kevin Keating
چکیده

Let K be a finite extension of the p-adic field Qp and let F (X,Y ) and G(X, Y ) be one-dimensional formal group laws over the ring of integers OK of K. Let φ(X) be a homomorphism from F to G which is defined over the ring of integers OCp of the completion Cp of Q p . In this paper we prove that if ker(φ) is finite then there is a discretely valued subfield L ⊂ Cp such that φ(X) is defined over OL.

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تاریخ انتشار 2009