Monge-Amp\`ere measures for toric metrics on abelian varieties
Algebraic Geometry
2023-11-27 v2 Number Theory
Abstract
Toric metrics on a line bundle of an abelian variety 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 . 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.
Cite
@article{arxiv.2204.12179,
title = {Monge-Amp\`ere measures for toric metrics on abelian varieties},
author = {Walter Gubler and Stefan Stadlöder},
journal= {arXiv preprint arXiv:2204.12179},
year = {2023}
}
Comments
28 pages. Presentation in Section 3 changed to make the arguments easier to follow