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arXiv · 2204.12179

Monge-Amp\`ere measures for toric metrics on abelian varieties

Walter Gubler·Stefan Stadlöder
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Abstract

Toric metrics on a line bundle of an abelian variety $A$ are the invariant metrics under the natural torus action coming from Raynaud's uniformization theory. We compute here the associated Monge-Amp\`ere measures for the restriction to any closed subvariety of $A$. This generalizes the computation of canonical measures done by the first author from canonical metrics to toric metrics and from discrete valuations to arbitrary non-archimedean fields.

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Walter Gubler, Stefan Stadlöder. 2022-04-26. Monge-Amp\`ere measures for toric metrics on abelian varieties. https://doi.org/10.5802/pmb.49

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