The convergence Newton polygon of a \(p\)-adic differential equation. II: Continuity and finiteness on Berkovich curves

DOI10.1007/s11511-015-0127-8zbMath1332.12012arXiv1209.3663OpenAlexW3098101857WikidataQ115377887 ScholiaQ115377887MaRDI QIDQ493516

Jérôme Poineau, Andrea Pulita

Publication date: 3 September 2015

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

Full work available at URL: https://arxiv.org/abs/1209.3663

zbMATH Keywords

finitenesscontinuityNewton polygonradius of convergenceBerkovich spaces\(p\)-adic differential equationsextension of scalarsuniversal points

Mathematics Subject Classification ID

(p)-adic differential equations (12H25) Non-Archimedean valued fields (12J25)

Related Items (11)

Infinitesimal deformation of \(p\)-adic differential equations on Berkovich curves ⋮ Spectrum of \(p\)-adic linear differential equations. I: The shape of the spectrum ⋮ Bruhat-Tits theory from Berkovich's point of view. Analytic filtrations ⋮ Spectrum of a linear differential equation with constant coefficients ⋮ 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 ⋮ Metric uniformization of morphisms of Berkovich curves via \(p\)-adic differential equations ⋮ Convergence Polygons for Connections on Nonarchimedean Curves ⋮ Radiality of definable sets ⋮ DEFINABLE SETS OF BERKOVICH CURVES

Cites Work

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