In this paper we present a matricial result that generalizes Hironaka's game and Perron transforms simultaneously. We also show how one can deduce the various forms in which the algorithm of Perron appears in proofs of local uniformization from our main result.

中文翻译：

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佩隆变身和弘中的游戏

在本文中，我们提出了一个同时推广 Hironaka 游戏和 Perron 变换的矩阵结果。我们还展示了如何从我们的主要结果推导出 Perron 算法在局部均匀化证明中出现的各种形式。