Factorization of differential systems in characteristic p
Factorization of differential systems in characteristic p
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特征 p 中微分系统的因式分解
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发表时间：
2003
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通讯作者：
T. Cluzeau
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作者：
T. Cluzeau
给出了系数为<b>F</b><；inf>；<i>p</i><；/inf>；(<i>z</i>).的微分方程组的因式分解算法这种算法已经由van der Put在[20]、[24，13.1]和[22]中给出。我们重述了他直接处理系统的思想，并添加了一些策略比较、在Maple<sup>1</sup>中的实现和复杂性分析。用于分解特征<i>p</i>的中心工具是<i>p</i>曲率。我们证明了p-曲率与本征环之间的联系，并说明了如何利用这些联系得到Barkatou在文[1]中的论述之后的另一个算法。
We present an algorithm for factoring differential systems with coefficients in <b>F</b><inf><i>p</i></inf>(<i>z</i>). Such an algorithm has already been given by van der Put in [20], [24, 13.1] and [22]. We recast his ideas to handle systems directly and we add some comparisons of strategies, an implementation in Maple<sup>1</sup> and a complexity analysis. The central tool for factoring in characteristic <i>p</i> is the <i>p</i> curvature. We prove the links between the <i>p</i>-curvature and the eigenring and we show how to use these to obtain another algorithm following the exposition of Barkatou in [1].