Convex domains of finite type
Convex domains of finite type
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有限型凸域
DOI：
10.1016/0022-1236(92)90029-i
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发表时间：
1992
影响因子：
1.7
通讯作者：
J. McNeal
中科院分区：
文献类型：
--
作者：
J. McNeal
我们构造有界的，pluissubharmonic函数的最大大的Hessians附近的边界光滑有界凸域在Cn。作为推论，证明了边界与复解析簇（D'Angelo型）的接触阶和与复直线的接触阶是相等的。
We construct bounded, plurisubharmonic functions with maximally large Hessians near the boundary of a smoothly bounded convex domain in C n. As a corollary, the equality of the order of contact of the boundary with complex analytic varieties (the D'Angelo type) and the order of contact with complex lines is demonstrated.