An integral transform for \(p\)-adic symmetric spaces

DOI10.1215/S0012-7094-97-08612-9zbMath0885.14012MaRDI QIDQ679039

Peter Schneider, Jeremy T. Teitelbaum

Publication date: 1 June 1997

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

de Rham cohomologylocal fieldarrangements of hyperplanesBruhat-Tits building\(p\)-adic symmetric space\(p\)-adic integral transformresidue map

Mathematics Subject Classification ID

Local ground fields in algebraic geometry (14G20) de Rham cohomology and algebraic geometry (14F40) Non-Archimedean analysis (32P05) Residues for several complex variables (32A27)

Related Items (8)

Cohomology and geometry of Deligne-Lusztig varieties for \(\mathrm{GL}_n\) ⋮ Integral structures in the 𝑝-adic holomorphic discrete series ⋮ Cohomology of Drinfeld symmetric spaces and harmonic cochains ⋮ On the $p$-adic cohomology of some $p$-adically uniformized varieties ⋮ Residues on buildings and de Rham cohomology of \(p\)-adic symmetric domains. ⋮ Logarithmic differential forms on \(p\)-adic symmetric spaces. ⋮ On the \((K_0,\varphi,N)\)-structures attached to Mumford curves ⋮ On the cohomology of Drinfel'd's \(p\)-adic symmetric domain

Cites Work

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• Values of \(p\)-adic \(L\)-functions and a \(p\)-adic Poisson kernel
• The cohomology of local systems on \(p\)-adically uniformized varieties
• Cohomologie d'immeubles et de groupes S-arithmétiques
• Coverings of p-adic symmetric regions
• Modular representations of \(\text{PGL}_ 2\) and automorphic forms for Shimura curves
• The cohomology of \(p\)-adic symmetric spaces
• The space of p-adic norms
• Reductive groups over a local field
• p-adic curvature and the cohomology of discrete subgroups of p-adic groups
• Schémas en groupes et immeubles des groupes classiques sur un corps local
• UNIFORMIZATION OF ALGEBRAIC CURVES BY DISCRETE ARITHMETIC SUBGROUPS OF $ PGL_2(k_w)$ WITH COMPACT QUOTIENTS

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