A Note on Logarithmic Growth Newton Polygons of p-Adic Differential Equations

作者:Ohkubo Shun*
来源:International Mathematics Research Notices, 2015, (10): 2671-2677.
DOI:10.1093/imrn/rnu017

摘要

In this paper, we answer a question due to Y. Andre related to B. Dwork's conjecture on a specialization of the logarithmic growth of solutions of p-adic linear differential equations. Precisely speaking, we explicitly construct a del-module M over Q(p)[[X]](0) of rank 2 such that the left endpoint of the special log-growth Newton polygon of M is strictly above the left endpoint of the generic log-growth Newton polygon of M.

  • 出版日期2015