The Catlin Multitype and Biholomorphic Equivalence of Models
The Catlin Multitype and Biholomorphic Equivalence of Models
复制标题
模型的卡特林多型和双全纯等价
DOI：
10.1093/imrn/rnq013
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发表时间：
2009
影响因子：
1
通讯作者：
M. Kolář
中科院分区：
文献类型：
--
作者：
M. Kolář
本文介绍了一种基本原理的替代方法
The paper introduces an alternative approach to a fundamental
C-R invariant-the Catlin multitype. It is applied to a general
smooth hypersurface in C^n+1, not necessarily pseudoconvex.
Using this approach, we prove biholomorphic equivalence of
models and give an explicit description of biholomorphisms
between different models. A constructive finite algorithm for
computing the multitype is described. The results can be viewed
as providing a necessary step in understanding local
biholomorphic equivalence of Levi degenerate hypersurfaces in
C^n+1.