论文标题
严格规则和CSCK指标
Strictly regular and cscK metrics
论文作者
论文摘要
如果与MG相关的部分Bergman内核对于所有足够大的整数M是一个正常数，则据说具有积分Kaehler形式的Kaehler度量$ G $是部分规则的。本文的目的是证明，对于所有n \ geq 2，都有一个n-复杂的维歧管，配备了严格的部分规则和CSCK度量g。此外，对于N \ GEQ 3，可以选择G的（常数）标量曲率为零，正或负。
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.
