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arXiv · 1801.08229

Global pluripotential theory over a trivially valued field

Sébastien Boucksom·Mattias Jonsson
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Abstract

We develop global pluripotential theory in the setting of Berkovich geometry over a trivially valued field. Specifically, we define and study functions and measures of finite energy and the non-Archimedean Monge-Ampere operator on any (possibly reducible) projective variety. We also investigate the topology of the space of valuations of linear growth, and the behavior of psh functions thereon.

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Sébastien Boucksom, Mattias Jonsson. 2018-01-24. Global pluripotential theory over a trivially valued field. https://arxiv.org/abs/1801.08229

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