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K-energy for the coupled constant scalar curvature Kähler equation, I: Slope formula and semistability
In this paper we study coupled constant scalar curvature Kähler metrics defined by Datar-Pingali extending coupled Kähler-Einstein metrics defined by Hultgren-Witt Nyström. We consider two K-energy functionals of which one (denoted $\mathcal{M}_{\operatorname{ccscK}}$) integrates the moment map cons
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