论文标题
Segre非排效机完全真正的亚地区
Segre nondegenerate totally real subvarieties
论文作者
论文摘要
我们研究了$ n $尺寸复杂空间中$ n $维的一种不可约的实质性细菌。假设该品种是segre非等级的，我们定义了一个平均操作员，该操作员概括了Moser-Weberster的相互作用。可以将该操作员视为奇异性的CR结构，并且使用此操作员，我们研究了构成全体形态功能的一组功能。我们给出了奇异性的扁平性的条件，这将奇异性视为一个非词性Levi-Flat Hypersurface的双重亚变量。
We study an irreducible real-analytic germ of an $n$-dimensional variety in $n$ dimensional complex space. Assuming that the variety is Segre nondegenerate we define an averaging operator that generalizes the Moser--Webster involution. This operator can be thought of as being the CR structure of the singularity, and using this operator we study the set of functions that are restrictions of holomorphic functions. We give a condition on the flattening of the singularity, that is realizing the singularity as a codimention one subvariety of a nonsingular Levi-flat hypersurface.
