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math.DG2023
Integrating holomorphic sectional curvatures
Gunnar Þór Magnússon
We calculate the -norm of the holomorphic sectional curvature of a Kähler metric by representation-theoretic means. This yields a new proof that the holomorphic sectional curv…
math.DG2023
On the curvature of the blowup of a point
Gunnar Þór Magnússon
We consider the blowup of a point of a compact Kähler manifold and a metric of the form on it, where is a Kähler metric on the original manifold and is Hermiti…