A -adic monodromy theorem for de Rham local systems

DOI10.1112/S0010437X2200776XMaRDI QIDQ5057804

Koji Shimizu

Publication date: 19 December 2022

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.10951

zbMATH Keywords

rigid analytic geometry\(p\)-adic Hodge theory

Mathematics Subject Classification ID

Arithmetic ground fields (finite, local, global) and families or fibrations (14D10) (p)-adic theory, local fields (11F85) Galois representations (11F80) Rigid analytic geometry (14G22) Perfectoid spaces and mixed characteristic (14G45)

Related Items

Local constancy of pro‐unipotent Kummer maps, A prismatic approach to crystalline local systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The \(p\)-adic representation of the Weil-Deligne group associated to an abelian variety
• On a conjecture of Rapoport and Zink
• The \(p\)-adic monodromy theorem in the imperfect residue field case
• Rigidity and a Riemann-Hilbert correspondence for \(p\)-adic local systems
• Cristalline representations in the case of an imperfect residue field
• Signs in weight spectral sequences, monodromy-weight conjectures, log Hodge symmetry and degeneration of surfaces
• Weights in arithmetic geometry
• F-isocrystals and De Rham cohomology. I
• On variation of Hodge-Tate structures
• La conjecture de Weil. II
• Über die lokale Zetafunktion von Shimuravarietaeten. Monodromiefiltration und verschwindende Zyklen in ungleicher Charakteristik
• Local constancy in \(p\)-adic families of Galois representations
• \(p\)-adic étale cohomology and crystalline cohomology in the semi-stable reduction case
• Spectral sequence of weights in Hyodo-Kato cohomology
• Étale cohomology for non-Archimedean analytic spaces
• A generalization of formal schemes and rigid analytic varieties
• Smoothness, semi-stability and alterations
• \(p\)-adic representations and differential equations
• \(l\)-independence of the trace of monodromy
• Perfectoid spaces
• Semistable sheaves and comparison isomorphisms in the semistable case
• Weak semistable reduction in characteristic 0
• Construction of semi-stable \(p\)-adic representations
• Crystalline and semi-stable representations in the imperfect residue field case
• A counterexample to an optimistic guess about étale local systems
• Some consequences of the Riemann hypothesis for varieties over finite fields
• Semistable reduction in characteristic 0
• Crystalline comparison isomorphisms in \(p\)-adic Hodge theory: the absolutely unramified case
• Potentially good reduction loci of Shimura varieties
• Nilpotent connections and the monodromy theorem: Applications of a result of Turrittin
• -ADIC HODGE THEORY FOR RIGID-ANALYTIC VARIETIES
• -ADIC HODGE THEORY FOR RIGID-ANALYTIC VARIETIES – CORRIGENDUM
• Relative p-adic Hodge theory and Rapoport-Zink period domains
• Constancy of generalized Hodge–Tate weights of a local system
• Coverings of p-adic period domains
• An Introduction to "G"-Functions. (AM-133)
• ESPACES DE BANACH DE DIMENSION FINIE
• WEIGHT SPECTRAL SEQUENCES AND INDEPENDENCE OF $\ell$
• p-Adic Hodge Theory
• Comparison isomorphisms for smooth formal schemes
• LA COURBE
• Relative p-adic Hodge theory: Foundations
• Représentations p-adiques cristallines et de de Rham dans le cas relatif
• Modeles de neron et monodromie