Stein domains with Levi-Flat boundaries on compact complex surfaces
Stein domains with Levi-Flat boundaries on compact complex surfaces
复制标题
紧凑复杂表面上具有 Levi-Flat 边界的斯坦因域
DOI：
10.1007/bf02679105
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发表时间：
1999
影响因子：
0.6
通讯作者：
S. Y. Nemirovskii
中科院分区：
文献类型：
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作者：
S. Y. Nemirovskii
考虑一个复代数曲面V，如果CCV是一个超平面截面，那么很明显，流形V\C允许嵌入到C中，即它是一个Stein流形。在V\C中取一个边界光滑的相对紧的Stein域，我们将得到曲面V分裂为两部分，其中一部分是Stein域的伪凸曲面，另一部分是复曲线的伪凹曲面。
Consider a complex algebraic surface V. If CCV is a hyperplane section, then, obviously, the manifold V\C admits an embedding into C, ie, it is a Stein manifold. Taking a relatively compact Stein domain with smooth boundary in V\C we would obtain a splitting of the surface V into two parts, one of which is Stein and pseudoconvex, and the other one is a pseudoconcave neighborhood of a complex curve.