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Twisted constant scalar curvature Kähler metrics and Kähler slope stability

Twisted constant scalar curvature Kähler metrics and Kähler slope stability

On a compact Kähler manifold we introduce a cohomological obstruction to the solvability of the constant scalar curvature (cscK) equation twisted by a semipositive form, appearing in works of Fine and Song-Tian. As a special case we find an obstruction for a manifold to be the base of a holomorphic …