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On the cohomology of Drinfel'd's \(p\)-adic symmetric domain

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Publication:1601459
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DOI10.1007/BF02773150zbMath1060.14026MaRDI QIDQ1601459

Gil Alon, Ehud de Shalit

Publication date: 22 August 2002

Published in: Israel Journal of Mathematics (Search for Journal in Brave)



Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50) Groups with a (BN)-pair; buildings (20E42) (p)-adic cohomology, crystalline cohomology (14F30) Linear algebraic groups over local fields and their integers (20G25)


Related Items (5)

Invertible functions on nonarchimedean symmetric spaces ⋮ Cohomology of discrete groups in harmonic cochains on buildings ⋮ \({\mathcal{L}}\)-invariants of \(p\)-adically uniformized varieties ⋮ Invariant distributions on projective spaces over local fields ⋮ Sheaves of bounded p-adic logarithmic differential forms



Cites Work

  • Unnamed Item
  • An integral transform for \(p\)-adic symmetric spaces
  • Values of \(p\)-adic \(L\)-functions and a \(p\)-adic Poisson kernel
  • The cohomology of local systems on \(p\)-adically uniformized varieties
  • The cohomology of \(p\)-adic symmetric spaces
  • Residues on buildings and de Rham cohomology of \(p\)-adic symmetric domains.
  • NONARCHIMEDEAN UNIFORMIZATION


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