严格常规和cscK指标
Strictly regular and cscK metrics
摘要：
一个具有积分Kaehler形式的Kaehler度量$g$称为部分正则的，如果与mg相关的部分Bergman核对所有充分大的整数m都是正常数.本文的目的是证明对所有n个\geq 2，存在一个n-复维流形，它具有严格部分正则和cscK度量g.此外，对于n \geq 3，g的（常数）数量曲率可以选择为零、正或负。
英文摘要：
A Kaehler metric $g$ with integral Kaehler form is said to be partially regular if the partial Bergman kernel associated to mg is a positive constant for all integer m sufficiently large. The aim of this paper is to prove that for all n\geq 2 there exists an n-complex dimensional manifold equipped with strictly partially regular and cscK metric g. Further, for n\geq 3, the (constant) scalar curvature of g can be chosen to be zero, positive or negative.
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。
