论文标题
有限的对称域上的分层希尔伯特模块
Stratified Hilbert Modules on Bounded Symmetric Domains
论文作者
论文摘要
我们分析了某些希尔伯特模块的“特征链”（本地化捆绑包），而有限的对称域$ r的对称域，从而产生了长度为$ r+1的复杂分析的纤维空间。重要的例子是沿着分层的各个阶层消失的条件所定义的决定性理想。
We analyze the "eigenbundle" (localization bundle) of certain Hilbert modules over bounded symmetric domains of rank $r,$ giving rise to complex-analytic fibre spaces which are stratified of length $r+1.$ The fibres are described in terms of Kähler geometry as line bundle sections over flag manifolds, and the metric embedding is determined by taking derivatives of reproducing kernel functions. Important examples are the determinantal ideals defined by vanishing conditions along the various strata of the stratification.
