6 citations · 10 across the 9 of their papers we have counts for
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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. We…
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…
Néron models of pseudo-Abelian varieties
Otto Overkamp
We study Néron models of pseudo-Abelian varieties over excellent discrete valuation rings of equal characteristic and generalize the notions of good reduction and semiabelian…
Jumps and motivic invariants of semiabelian Jacobians
Otto Overkamp
We investigate Néron models of Jacobians of singular curves over strictly Henselian discretely valued fields, and their behaviour under tame base change. For a semiabelian variety,…
Finite descent obstruction and non-abelian reciprocity
Otto Overkamp
For a nice algebraic variety over a number field , one of the central problems of Diophantine Geometry is to locate precisely the set inside $X(\A_F)$, where $\A_F$ d…