A note on logarithmic growth Newton polygons of p-adic differential equations
A note on logarithmic growth Newton polygons of p-adic differential equations
复制标题
关于p进微分方程的对数增长牛顿多边形的注记
DOI：
10.1093/imrn/rnu017
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发表时间：
2014
影响因子：
1
通讯作者：
Shun
中科院分区：
文献类型：
--
作者：
OHKUBO;Shun
在本文中，我们回答了由Y. andr<s:1>提出的与B. Dwork关于p进线性微分方程解的对数增长专门化的猜想有关的问题。准确地说，我们明确地构造了一个∇- modulemoveof秩2，使得mis的特殊对数增长牛顿多边形的左端点严格高于m的一般对数增长牛顿多边形的左端点。
In this paper, we answer a question due to Y. André related to B. Dwork's conjecture on a specialization of the logarithmic growth of solutions ofp-adic linear differential equations. Precisely speaking, we explicitly construct a ∇-moduleMoverof rank 2 such that the left endpoint of the special log-growth Newton polygon ofMis strictly above the left endpoint of the generic log-growth Newton polygon ofM.