On the approximate Jacobian Newton diagrams of an irreducible plane curve

Evelia Rosa Garcia Barroso; Janusz Gwozdziewicz

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On the approximate Jacobian Newton diagrams of an irreducible plane curve

机译：关于不可约平面曲线的近似雅可比牛顿图

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摘要

We introduce the notion of an approximate Jacobian Newton diagram which is the Jacobian Newton diagram of the morphism (f~(k),f), where f is a branch and f~(k) is a characteristic approximate root of f. We prove that the set of all approximate Jacobian Newton diagrams is a complete topological invariant. This generalizes theorems of Merle and Ephraim about the decomposition of the polar curve of a branch.

机译：我们引入近似雅可比牛顿图的概念，它是态射（f〜（k），f）的雅可比牛顿图，其中f是分支，f〜（k）是f的特征近似根。我们证明所有近似雅可比牛顿图的集合是一个完整的拓扑不变量。这将Merle和Ephraim关于分支极线分解的定理进行了推广。

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来源
《Journal of the Mathematical Society of Japan》 |2013年第1期|169-182|共14页
作者
Evelia Rosa Garcia Barroso; Janusz Gwozdziewicz;
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作者单位

Departamento de Matematica Fundamental Facultad de Matematicas Universidad de La Laguna 38271 La Laguna, Tenerife, Espana;

Department of Mathematics Technical University Al. 1000 L PP7 25-314 Kielce, Poland;

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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类
关键词
irreducible plane curve; approximate root; jacobian newton diagram;

机译：不可约平面曲线近似根雅各布·牛顿图;

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On the approximate Jacobian Newton diagrams of an irreducible plane curve

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