Continuity of the radius of convergence of differential equations on \(p\)-adic analytic curves
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Publication:607716
DOI10.1007/s00222-010-0266-7zbMath1221.14027arXiv0809.2479OpenAlexW2123456103MaRDI QIDQ607716
Publication date: 3 December 2010
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0809.2479
\(p\)-adic differential equationsDwork-Robba theoryrig-smooth compact strictly \(k\)-analytic curvessemistable formal models
Related Items (18)
Frobenius structures on hypergeometric equations ⋮ Local and global structure of connections on nonarchimedean curves ⋮ Differential equations and Lie group representations ⋮ Topology and geometry of the Berkovich ramification locus for rational functions. II ⋮ Morphisms of Berkovich curves and the different function ⋮ Infinitesimal deformation of \(p\)-adic differential equations on Berkovich curves ⋮ Continuity of the radius of convergence of differential equations on \(p\)-adic analytic curves ⋮ Radius of convergence of \(p\)-adic connections and the \(p\)-adic Rolle theorem ⋮ Riccati differential equation for hypergeometric differential equation ⋮ Retracted article: Radius of convergence of \(p\)-adic connections and the Berkovich ramification locus ⋮ The convergence Newton polygon of a \(p\)-adic differential equation. I: Affinoid domains of the Berkovich affine line ⋮ The convergence Newton polygon of a \(p\)-adic differential equation. II: Continuity and finiteness on Berkovich curves ⋮ Riemann-Hurwitz formula for finite morphisms of \(p\)-adic curves ⋮ Good formal structures for flat meromorphic connections. I: Surfaces ⋮ Metric uniformization of morphisms of Berkovich curves via \(p\)-adic differential equations ⋮ Good formal structures for flat meromorphic connections, II: Excellent schemes ⋮ Convergence Polygons for Connections on Nonarchimedean Curves ⋮ Finite morphisms between projective varieties and Skeleta
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