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A Kaehler metric $g$ with integral Kaehler form is said to be partiallyregular if the partial Bergman kernel associated to mg is a positive constantfor all integer m sufficiently large. The aim of this paper is to prove thatfor all n\geq 2 there exists an n-complex dimensional manifold equipped withstrictly partially regular and cscK metric g. Further, for n\geq 3, the(constant) scalar curvature of g can be chosen to be zero, positive ornegative.

Strictly regular and cscK metrics