Frobenius and monodromy operators in rigid analysis, and Drinfel’d’s symmetric space

DOI10.1090/S1056-3911-05-00402-9zbMath1084.14021arXiv1408.3346OpenAlexW2964228152MaRDI QIDQ5316104

Elmar Grosse-Klönne

Publication date: 12 September 2005

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.3346

zbMATH Keywords

rigid analysisHyodo-Kato cohomologyDrinfel'd symmetric space

Mathematics Subject Classification ID

de Rham cohomology and algebraic geometry (14F40) Rigid analytic geometry (14G22) (p)-adic cohomology, crystalline cohomology (14F30)

Related Items

Homological vanishing theorems for locally analytic representations ⋮ A \(p\)-adic arithmetic inner product formula ⋮ \({\mathcal{L}}\)-invariants of \(p\)-adically uniformized varieties ⋮ Sheaves of bounded p-adic logarithmic differential forms ⋮ Compactifications of log morphisms ⋮ Integral structures in the 𝑝-adic holomorphic discrete series ⋮ \(p\)-adic-representations of \(\text{GL}_2(L)\) and derived categories ⋮ Integral \(p\)-adic étale cohomology of Drinfeld symmetric spaces ⋮ On the $p$-adic cohomology of some $p$-adically uniformized varieties ⋮ Comparison between rigid and crystalline syntomic cohomology for strictly semistable log schemes with boundary ⋮ Cohomology of \(p\)-adic Stein spaces ⋮ Cohomologie 𝑝-adique de la tour de Drinfeld: le cas de la dimension 1 ⋮ The Cech filtration and monodromy in log crystalline cohomology

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A note on p-adic étale cohomology in the semi-stable reduction case
• The cohomology of local systems on \(p\)-adically uniformized varieties
• Limits of Hodge structures
• Smooth \(p\)-adic analytic spaces are locally contractible
• Spectral sequence of weights in Hyodo-Kato cohomology
• Finiteness and cohomological purity in rigid cohomology (with an appendix by Aise Johan de Jong)
• Log smooth deformation theory
• Weight-monodromy conjecture for \(p\)-adically uniformized varieties
• Compactifications of log morphisms
• The cohomology of \(p\)-adic symmetric spaces
• Residues on buildings and de Rham cohomology of \(p\)-adic symmetric domains.
• Logarithmic differential forms on \(p\)-adic symmetric spaces.
• Finiteness of de Rham cohomology in rigid analysis.
• Die de Rham Kohomologie algebraischer Mannigfaltigkeiten über einem bewerteten Körper
• The Cech filtration and monodromy in log crystalline cohomology
• Logarithmic structures of Fontaine-Illusie. II
• Solutions d'équations à coefficients dans un anneau hensélien
• Weights in rigid cohomology applications to unipotent F-isocrystals
• Relative log convergent cohomology and relative rigid cohomology II
• The p-adic monodromy-weight conjecture for p-adically uniformized varieties
• Period Spaces for "p"-divisible Groups (AM-141)
• Rigid analytic spaces with overconvergent structure sheaf
• Weak Formal Schemes