\(p\)-adic norms and quadratic extensions

DOI10.5802/aif.2489zbMath1206.22009OpenAlexW2462973128MaRDI QIDQ848121

Christophe Cornut

Publication date: 22 February 2010

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/10453

zbMATH Keywords

quadratic extensions\(p\)-adic normsspherical pairs

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Abstract harmonic analysis (43A99) Representations of Lie and linear algebraic groups over local fields (22E50) Linear algebraic groups over local fields and their integers (20G25) (p)-adic theory (11E95)

Related Items (2)

Towards an effective version of Mazur conjecture ⋮ On \(p\)-adic norms and quadratic extensions. II

Cites Work

• Unnamed Item
• An analogue of the Cartan decomposition for \(p\)-adic symmetric spaces of split \(p\)-adic reductive groups
• The space of p-adic norms
• On the ubiquity of Gorenstein rings
• On the unramified spectrum of spherical varieties over p-adic fields
• Schémas en groupes et immeubles des groupes classiques sur un corps local
• Schémas en groupes et immeubles des groupes classiques sur un corps local. II : groupes unitaires

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