Néron models in the setting of formal and rigid geometry

DOI10.1007/BF01446633zbMath0854.14011OpenAlexW1994612386MaRDI QIDQ1345928

Klaus Schlöter, Siegfried Bosch

Publication date: 19 December 1996

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165295

zbMATH Keywords

Néron modelrigid geometryformal geometry

Mathematics Subject Classification ID

Local ground fields in algebraic geometry (14G20) Formal groups, (p)-divisible groups (14L05)

Related Items

Trace formulas for motivic volumes ⋮ Component groups of abelian varieties and Grothendieck's duality conjecture ⋮ Néron models ⋮ Motivic Serre invariants of curves ⋮ Motivic zeta functions of degenerating Calabi-Yau varieties ⋮ Motivic integral of \(K3\) surfaces over a non-Archimedean field ⋮ Motivic integration on smooth rigid varieties and invariants of degenerations ⋮ Motivic invariants of algebraic tori ⋮ Motivic Serre invariants, ramification, and the analytic Milnor fiber ⋮ Motivic zeta functions of Abelian varieties, and the monodromy conjecture ⋮ Motivic Serre invariants and Weil restriction ⋮ The Serre invariant and the analytic Milnor fiber. ⋮ Rationality of Poincaré series and motivic zeta functions. ⋮ The Néron component series of an abelian variety ⋮ A trace formula for rigid varieties, and motivic Weil generating series for formal schemes ⋮ A trace formula for varieties over a discretely valued field ⋮ Equivariant motivic integration on formal schemes and the motivic zeta function ⋮ Component groups of Néron models via rigid uniformization

Cites Work

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• Rigid analytic spaces
• Néron Models