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arXiv · 2106.04626

Extremal potentials and equilibrium measures associated to collections of Kähler classes

Jakob Hultgren
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Abstract

Given a collection of Kähler forms and a continuous weight on a compact complex manifold we show that it is possible to define natural new notions of extremal potentials and equilibrium measures which coincide with classical notions when the collection is a singleton. We prove two regularity results and set up a variational framework. Applications to Fekete points are treated elsewhere.

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Jakob Hultgren. 2021-06-08. Extremal potentials and equilibrium measures associated to collections of Kähler classes. https://arxiv.org/abs/2106.04626

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