解析映射的局部单值化
Local Monomialization of Analytic Maps
摘要:
本文证明了复解析空间和实解析空间的解析态射的局部单值化定理。这给出了在特征为零的域上的代数簇的态射的局部单值化定理的推广,该定理在作者的早期论文“Local monomialization of morphisms”,Asterisque 260(1999)和“Local monomialization of超越扩张“,Annales de l 'institut Fourier,1517 - 1586中得到证明。
英文摘要:
In this paper, local monomialization theorems are proven for analytic morphisms of complex and real analytic spaces. This gives the generalization of the local monomialization theorem for morphisms of algebraic varieties over a field of characteristic zero proven in the author's earlier papers "Local monomialization of morphisms", Asterisque 260 (1999) and "Local monomialization of transcendental extensions", Annales de l'institut Fourier, 1517 - 1586.
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