摘要翻译：
本文用两种不同的方法刻画了分支的雅可比牛顿多边形。这些特征给出了二元复级数不可约的组合判据，以及复曲线为复平面分支的判别所必须满足的必要条件。
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英文标题：
《Characterization of jacobian Newton polygons of plane branches and new
  criteria of irreducibility》
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作者：
Evelia R. Garc\'ia Barroso and Janusz Gwo\'zdziewicz
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最新提交年份：
2009
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分类信息：

一级分类：Mathematics        数学
二级分类：Algebraic Geometry        代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
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英文摘要：
  In this paper we characterize, in two different ways, the Newton polygons which are jacobian Newton polygons of a branch. These characterizations give in particular combinatorial criteria of irreducibility for complex series in two variables and necessary conditions which a complex curve has to satisfy in order to be the discriminant of a complex plane branch.
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PDF链接：
https://arxiv.org/pdf/0805.4257