Introduces abstract divisorial spaces to extend arithmetic intersection numbers for adelic line bundles on varieties over proper adelic base curves, allowing singular non-archimedean metrics.
K\"uhne, Equidistribution in Families of Abelian Varieties and Uniformity , preprint, https://arxiv.org/abs/2101.10272v2, 2021
2 Pith papers cite this work. Polarity classification is still indexing.
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Survey presenting the quantitative uniformity theorem for the Mordell conjecture proved by Yu--Yuan--Zhou, building on Vojta, Dimitrov--Habegger--Gao and Kuhne.
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Abstract divisorial spaces and arithmetic intersection numbers
Introduces abstract divisorial spaces to extend arithmetic intersection numbers for adelic line bundles on varieties over proper adelic base curves, allowing singular non-archimedean metrics.
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Quantitativity in the Mordell Conjecture
Survey presenting the quantitative uniformity theorem for the Mordell conjecture proved by Yu--Yuan--Zhou, building on Vojta, Dimitrov--Habegger--Gao and Kuhne.