SOME COMPUTATION PROBLEMS ARISING IN FONTAINE THEORY

Abstract

In this note we construct special types of rings $A_{\max ,\mathrm{n}}$ which are used in sequel work to define new types of families of continuous Fontaine sheaves. We also study the maps ${\theta }_n$ and $q_n$ providing explicit description of their kernels. Finally, we implement an algorithm which leads to the computation of these kernels.