A complete metric topology on relative low energy spaces

Abstract

In this paper, we show that the low energy spaces in the prescribed singularity case ${\mathcal{E}}_{\psi }(X,\theta ,\varphi )$ have a natural topology which is completely metrizable. This topology is stronger than convergence in capacity.

arXiv comment25 pages, comments are welcome

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Cited by in corpus (2)

• Entropy for Monge-Ampère Measures in the Prescribed Singularities Setting
• Relative pluripotential theory on compact Kähler manifolds