Plurisubharmonic geodesics in spaces of non-Archimedean metrics of finite energy

Rémi Reboulet

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arXiv · 2012.07972

Plurisubharmonic geodesics in spaces of non-Archimedean metrics of finite energy

Rémi Reboulet

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Abstract

Given a polarized projective variety (X,L) over any non-Archimedean field, assuming continuity of envelopes, we show that the space of finite-energy metrics on L is a geodesic metric space, where geodesics are given as maximal psh segments. Given two continuous psh metrics, we show that the maximal segment joining them is furthermore continuous.

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BibTeX RIS

Rémi Reboulet. 2020-12-14. Plurisubharmonic geodesics in spaces of non-Archimedean metrics of finite energy. https://arxiv.org/abs/2012.07972

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