Rigid analytische Gruppen mit guter Reduktion.
Formelle Standardmodelle hyperelliptischer Kurven.
Eine bemerkenswerte Eigenschaft der formellen Fasern affinoider Räume.
Multiplikative Untergruppen in abeloiden Mannigfaltigkeiten.
k-affinoide Tor.
A Rigid Analytic Version of M. Artin's Theorem on Analytic Equations.
Meromorphic functions on proper rigid analytic varieties
Zur Kohomologietheorie Rigid analytischer Räume.
Orthonormalbasen in der nichtarchimedischen Funktionentheorie.
Homogene Räume k-affinoider Gruppen.
Néron models from the rigid analytic viewpoint
On the reduction of abelian varieties
Stable reduction and rigid analytic uniformization of abelian varieties
On -adic uniformization
Component groups of abelian varieties and Grothendieck's duality conjecture
We investigate Grothendieck’s pairing on component groups of abelian varieties from the viewpoint of rigid uniformization theory. Under the assumption that the pairing is perfect, we show that the filtrations, as introduced by Lorenzini and in a more general way by Bosch and Xarles, are dual to each other. Furthermore, the methods yield some progress on the perfectness of the pairing itself, in particular, for abelian varieties with potentially multiplicative reduction.
Component groups of Néron models via rigid uniformization.
Néron models from the rigid analytic viewpoint.
Stable reduction and uniformization of abelian varieties II.
Néron models in the setting of formal and rigid geometry.
Formal and rigid geometry. II. Flattening techniques.
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