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arXiv · 2406.13684

Some non-Archimedean pluripotential theory on polarized affine cones

Yueqiao Wu
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Abstract

We undertake a preliminary step towards studying non-Archimedean pluripotential theory on polarized affine cones over a trivially valued field. We study plurisubharmonic functions and the Monge--Amp\`ere operator defined on the finite energy class, partially generalizing a result of Boucksom--Jonsson on projective varieties.

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Yueqiao Wu. 2024-06-19. Some non-Archimedean pluripotential theory on polarized affine cones. https://arxiv.org/abs/2406.13684

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