Additive reduction of algebraic tori

DOI10.1007/BF01246743zbMath0782.14042MaRDI QIDQ1204067

Xavier Xarles, Enric Nart Viñals

Publication date: 18 February 1993

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

Néron modelalgebraic torus

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Local ground fields in algebraic geometry (14G20) Minimal model program (Mori theory, extremal rays) (14E30) Algebraic number theory: local fields (11S99) Special surfaces (14J25) Group schemes (14L15)

Related Items (13)

Simple algebraic groups with the same maximal tori, weakly commensurable Zariski-dense subgroups, and good reduction ⋮ Motivic invariants of algebraic tori ⋮ Galois representations attached to abelian varieties of CM type ⋮ Simple wild -packets ⋮ A building-theoretic approach to relative Tamagawa numbers of semisimple groups over global function fields ⋮ The discriminant of an algebraic torus ⋮ The Néron component series of an abelian variety ⋮ On Néron-Raynaud class groups of tori and the capitulation problem ⋮ Integral forms of linear algebraic groups ⋮ Some finiteness results for algebraic groups and unramified cohomology over higher-dimensional fields ⋮ Splitting properties of the reduction of semi-abelian varieties ⋮ Component groups of Néron models via rigid uniformization ⋮ On the cohomology of tori over local fields with perfect residue field

Cites Work

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• Linear algebraic groups
• Formal groups and \(L\)-series
• Faisceaux amples sur les schémas en groupes et les espaces homogènes
• Arithmetic of algebraic tori
• Néron Models

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