Logarithmic differential forms on \(p\)-adic symmetric spaces.

DOI10.1215/S0012-7094-01-11023-5zbMath1100.14505MaRDI QIDQ1847875

Adrian Iovita, Michael Spiess

Publication date: 27 October 2002

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

Mathematics Subject Classification ID

(p)-adic theory, local fields (11F85) de Rham cohomology and algebraic geometry (14F40) Rigid analytic geometry (14G22) (p)-adic cohomology, crystalline cohomology (14F30)

Related Items

ON NONCRITICAL GALOIS REPRESENTATIONS ⋮ Frobenius and monodromy operators in rigid analysis, and Drinfel’d’s symmetric space ⋮ Homological vanishing theorems for locally analytic representations ⋮ A \(p\)-adic Maass-Shimura operator on Mumford curves ⋮ Invertible functions on nonarchimedean symmetric spaces ⋮ Cohomology of discrete groups in harmonic cochains on buildings ⋮ \({\mathcal{L}}\)-invariants of \(p\)-adically uniformized varieties ⋮ Sheaves of bounded p-adic logarithmic differential forms ⋮ Integral \(p\)-adic étale cohomology of Drinfeld symmetric spaces ⋮ On the $p$-adic cohomology of some $p$-adically uniformized varieties ⋮ Cohomology of \(p\)-adic Stein spaces ⋮ Residues on buildings and de Rham cohomology of \(p\)-adic symmetric domains.

Cites Work

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• Residues on buildings and de Rham cohomology of \(p\)-adic symmetric domains.
• Der Endlichkeitssatz für eigentliche Abbildungen in der nichtarchimedischen Funktionentheorie
• Theorem A und B in der nichtarchimedischen Funktionentheorie
• NONARCHIMEDEAN UNIFORMIZATION
• On the De Rham cohomology of algebraic varieties

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