Formal and \(p\)-adic theory of differential systems with logarithmic singularities depending upon parameters

DOI10.1215/S0012-7094-93-07210-9zbMath0808.12005MaRDI QIDQ1320633

Bruno Chiarellotto, Francesco Baldassarri

Publication date: 9 March 1995

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

zbMATH Keywords

logarithmic singularitiesrigid cohomology\(p\)-adic differential systemsformal differential systems

Mathematics Subject Classification ID

Differential algebra (12H05) (p)-adic cohomology, crystalline cohomology (14F30) (p)-adic differential equations (12H25)

Related Items (5)

On the index theorem for \(p\)-adic differential equations. I ⋮ On \(p\)-adic differential equations on semistable varieties ⋮ Cut-by-curves criterion for the log extendability of overconvergent isocrystals ⋮ On \(p\)-adic differential equations on semistable varieties. II ⋮ On logarithmic extension of overconvergent isocrystals

Cites Work

• Comparaison entre la cohomologie algébrique et la cohomologie p-adique rigide à coefficients dans un module différentiel. II: Cas des singularités régulières à plusieures variables. (Comparison between the algebraic cohomology and the rigid p-adic cohomology with coefficients in a differential module. II: Case of regular singularities with several variables)
• Géométrie analytique rigide et applications. (Ridgid analytic geometry and applications)
• Arithmetic properties of power series solutions of algebraic differential equations
• Serre's conjecture
• Effective \(p\)-adic bounds at regular singular points
• Differentialrechnung in der analytischen Geometrie
• Theorem A und B in der nichtarchimedischen Funktionentheorie
• Rigid analytic spaces
• Nilpotent connections and the monodromy theorem: Applications of a result of Turrittin
• A Note on the p-Adic Convergence of Solutions of Linear Differential Equations
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