Abstract
We prove a certain transcendence property of the unipotent Albanese map of a smooth variety, conditional on the Ax–Schanuel conjecture for variations of mixed Hodge structure. We show that this property allows the Chabauty–Kim method to be generalized to higher-dimensional varieties. In particular, we conditionally generalize several of the main Diophantine finiteness results in Chabauty–Kim theory to arbitrary number fields.
Citation
Daniel Rayor Hast. "Functional transcendence for the unipotent Albanese map." Algebra Number Theory 15 (6) 1565 - 1580, 2021. https://doi.org/10.2140/ant.2021.15.1565
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