狂野基本群的q-模拟与q-差分方程伽罗瓦论的反问题
The q-analogue of the wild fundamental group and the inverse problem of the Galois theory of q-difference equations
摘要：
在以前的文章中，我们定义了具有积分斜率的线性解析$q$ -差分方程的异导子的$q$ -模拟，并证明了一个密度定理（在伽罗瓦群中）和一个自由度定理。本文完整地描述了野生基本群，并将此结果应用于$q$ -差分伽罗瓦论中的反问题。新版本包含一个附录的pronilpotent完成和主要结果的直接问题是更加精确。（已提交出版）
英文摘要：
In previous papers, we defined $q$-analogues of alien derivations for linear analytic $q$-difference equations with integral slopes and proved a density theorem (in the Galois group) and a freeness theorem. In this paper, we completely describe the wild fundamental group and apply this result to the inverse problem in $q$-difference Galois theory. The new version contains an appendix on pronilpotent completion and the main result on the direct problem is made more precise. (Submitted for publication)
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