Super currents and tropical geometry
Super currents and tropical geometry
复制标题
超级洋流和热带几何
DOI：
10.1007/s00209-010-0837-8
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发表时间：
2010
影响因子：
0.8
通讯作者：
Aron Lagerberg
中科院分区：
文献类型：
--
作者：
Aron Lagerberg
我们介绍了$${\martbb {R}^{n}}$$上的正超电流的形式主义，与$${\martbb {C}^{n}}$$中的正电流理论有很强的相似性。我们认为电流和Lelong数的交叉，作为一个应用程序，我们表明，形式主义可以用来描述热带品种。这在精神上类似于这样一个事实，即在复分析中，分析多样性的整合流可以被认为是一个封闭的、积极的流。
We introduce the formalism of positive super currents on $${\mathbb{R}^{n}}$$, in strong analogy with the theory of positive currents in $${\mathbb{C}^{n}}$$. We consider intersection of currents and Lelong numbers, and as an application we show that the formalism can be used to describe tropical varieties. This is similar in spirit to the fact that in complex analysis the current of integration of an analytic variety can be identified with a closed, positive current.