The Valuative Tree
The Valuative Tree
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DOI：
10.1007/b100262
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发表时间：
2002-10
期刊：
影响因子：
--
通讯作者：
C. Favre;Mattias Jonsson
中科院分区：
文献类型：
--
作者：
C. Favre;Mattias Jonsson
本卷致力于一个美丽的对象，称为价值树，并被设计为一个强大的工具，为研究奇点在两个复杂的维度。其复杂而易于管理的结构可以用代数和几何方法来分析。许多类型的奇点，包括曲线、理想和多次谐波函数的奇点，都可以用赋值树上的正测度来编码。这些测度的构造使用一个独立的自然树拉普拉斯算子。
This volume is devoted to a beautiful object, called the valuative tree and designed as a powerful tool for the study of singularities in two complex dimensions. Its intricate yet manageable structure can be analyzed by both algebraic and geometric means. Many types of singularities, including those of curves, ideals, and plurisubharmonic functions, can be encoded in terms of positive measures on the valuative tree. The construction of these measures uses a natural tree Laplace operator of independent interest.