p-凸性、p-多重次调和性与Levi问题
p-convexity, p-plurisubharmonicity and the Levi problem
摘要：
建立了p-凸几何中的三个结果。首先是多复变数的Levi问题的类似问题，即：局部p-凸蕴涵全局p-凸。第二个断言，最小的p维电流的支持包含在与空间的“核心”的边界并集的p壳中。最后给出了p-正定矩阵凸锥中的极射线的特征。这是具有许多应用的基本结果。
英文摘要：
Three results in p-convex geometry are established. First is the analogue of the Levi problem in several complex variables, namely: local p-convexity implies global p-convexity. The second asserts that the support of a minimal p-dimensional current is contained in the p-hull of the boundary union with the "core" of the space. Lastly, the exteme rays in the convex cone of p-positive matrices are characterized. This is a basic result with many applications.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
