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arXiv 1402.0179math.DGmath.APmath.CV
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解析簇的内禀分层

Intrinsic Stratifications of Analytic Varieties

François Treves

备注：
The Nagano foliation as defined in the paper Intrinsic Stratifications of Analytic Varieties is not locally finite. I am indebted to Prof. Terence The Nagano foliation as I have defined it is not always locally finite. I am indebted to Prof. Gaffney for pointing out to me the counter-example of the 4 moving lines in C^3
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摘要：

通过将解析向量场的芽的李代数附加到（实的或复的）解析簇V的每一点，我们构造了该簇的Nagano叶状。我们证明了长野叶理V是一个分层。这个问题的处理是完全坐标自由，但依赖于奥卡-卡尔丹-塞尔理论的连贯分析层。

英文摘要：

By attaching a Lie algebra of germs of analytic vector fields to every point of a (real or complex) analytic variety V we construct the Nagano foliation of the variety. We prove that the Nagano foliation of V is a stratification. The treatment of the subject is totally coordinate free but relies on the Oka-Cartan-Serre theory of coherent analytic sheaves.

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