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Existence of global Néron models beyond semi-abelian varieties
Otto Overkamp, Takashi Suzuki
We first prove Bosch-Lütkebohmert-Raynaud's conjectures on existence of global Néron models of not necessarily semi-abelian algebraic groups in the perfect residue fields case. W…
math.NT2025
Chai's conjectures on base change conductors
Otto Overkamp, Takashi Suzuki
The base change conductor is an invariant introduced by Chai which measures the failure of a semiabelian variety to have semiabelian reduction. We investigate the behaviour of this…