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BIRS Workshop Lecture Videos

Potential density of integral points and Campana's theory of special varieties and C-pairs Javan Peykar, Ariyan

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Which varieties over a number field should have a potentially dense set of integral points? We provide evidence for Campana's conjecture that this should be the class of (Campana-)special varieties; these are varieties which are as far away as possible from being of (log-)general type and includes algebraic groups, Calabi-Yau varieties and rationally connected varieties. Joint with Finn Bartsch, Frederic Campana, and Olivier Wittenberg.

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Attribution-NonCommercial-NoDerivatives 4.0 International