scientific article
From MaRDI portal
Publication:3579590
zbMath1213.12009MaRDI QIDQ3579590
Publication date: 9 August 2010
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
differential moduleradius of convergencerigid cohomologyFrobenius structures\(p\)-adic differential equationgeneric disk\(p\)-adic exponents\(p\)-adic local monodromyPicard-Fuchs modules
Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Local ground fields in algebraic geometry (14G20) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Differential algebra (12H05) (p)-adic differential equations (12H25) Research exposition (monographs, survey articles) pertaining to field theory (12-02)
Related Items
Frobenius structures on hypergeometric equations ⋮ On the tropicalization of D-ideals ⋮ Deformations of overconvergent isocrystals on the projective line ⋮ Notes on isocrystals ⋮ On log-growth of solutions of \(p\)-adic differential equations at a logarithmic singular point ⋮ New methods for \((\varphi, \Gamma)\)-modules ⋮ A group-theoretic generalization of thep-adic local monodromy theorem ⋮ Spectral halo for Hilbert modular forms ⋮ Perfectoid Spaces: An Annotated Bibliography ⋮ An algorithm computing non-solvable spectral radii of \(p\)-adic differential equations ⋮ Differential equations and Lie group representations ⋮ Primitive ideals in rational, nilpotent Iwasawa algebras ⋮ A -adic monodromy theorem for de Rham local systems ⋮ Jacobi sum, differential equation modulo prime and logarithmic growth ⋮ Solving p-adic polynomial systems via iterative eigenvector algorithms ⋮ On log-growth of solutions of \(p\)-adic differential equations with \(p\)-adic exponents ⋮ Infinitesimal deformation of \(p\)-adic differential equations on Berkovich curves ⋮ The \(p\)-curvature conjecture and monodromy around simple closed loops ⋮ The \(p\)-adic monodromy group of abelian varieties over global function fields of characteristic \(p\) ⋮ The logarithmic growth of an element of the Robba ring which satisfies a Frobenius equation ⋮ 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 ⋮ Generalized hypergeometric arithmetic 𝒟-modules under a 𝓅-adic non-Liouvilleness condition ⋮ On examples of supersingular and rationally chain connected threefolds ⋮ Corrigendum: Local and global structure of connections on nonarchimedean curves ⋮ Exploring tropical differential equations ⋮ New \(p\)-adic hypergeometric functions and syntomic regulators ⋮ Improvements to the deformation method for counting points on smooth projective hypersurfaces ⋮ Rigid Character Groups, Lubin-Tate Theory, and (𝜑,Γ)-Modules ⋮ Spectrum of \(p\)-adic linear differential equations. I: The shape of the spectrum ⋮ A local analogue of the ghost conjecture of Bergdall-Pollack ⋮ Linear differential equation with inhomogeneity in the form of a formal power series over a ring with non-Archimedean valuation ⋮ On the geometric determination of extensions of non-Archimedean absolute values ⋮ Quantum Periods for Certain Four-Dimensional Fano Manifolds ⋮ Effective convergence bounds for Frobenius structures on connections ⋮ Coherence of certain overconvergent isocrystals without Frobenius structures on curves ⋮ Dagger geometry as Banach algebraic geometry ⋮ Spectrum of a linear differential equation with constant coefficients ⋮ \(p\)-adic vertex operator algebras ⋮ Riccati differential equation for hypergeometric differential equation ⋮ Cut-by-curves criterion for the log extendability of overconvergent isocrystals ⋮ Rigid \tau -crystals ⋮ Jordan Decomposition for Formal G-Connections ⋮ DIFFERENCE ALGEBRAIC RELATIONS AMONG SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS ⋮ Constructible \(\nabla \)-modules on curves ⋮ Difference Galois theory of linear differential equations ⋮ \(\wp\)-adic continuous families of Drinfeld eigenforms of finite slope ⋮ 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 ⋮ Extending meromorphic connections to coadmissible \( \mathcal{D} \)-modules ⋮ Spectrum of a linear differential equation over a field of formal power series ⋮ Algebraic solutions of differential equations over ℙ1 −{0,1,∞} ⋮ On the rationality and continuity of logarithmic growth filtration of solutions of \(p\)-adic differential equations ⋮ Equivariant hom-Lie algebras and twisted derivations on (arithmetic) schemes ⋮ Slopes of Overconvergent Hilbert Modular Forms ⋮ On nonarchimedean Banach fields ⋮ ANALYTIC PROPERTIES OF EISENSTEIN SERIES AND STANDARD -FUNCTIONS ⋮ The groups of points on abelian varieties over finite fields ⋮ Cut-by-curves criterion for the overconvergence of \(p\)-adic differential equations ⋮ The highest slope of log-growth Newton polygon of \(p\)-adic differential equations ⋮ Hahn analytification and connectivity of higher rank tropical varieties ⋮ Arithmetic families of \((\varphi,\Gamma)\)-modules and locally analytic representations of \(\mathrm{GL}_2(\mathbb Q_p)\) ⋮ The rank two \(p\)-curvature conjecture on generic curves ⋮ Metric uniformization of morphisms of Berkovich curves via \(p\)-adic differential equations ⋮ Good formal structures for flat meromorphic connections, II: Excellent schemes ⋮ Degenerations of toric varieties over valuation rings ⋮ BETTI NUMBER ESTIMATES IN -ADIC COHOMOLOGY ⋮ Convergence Polygons for Connections on Nonarchimedean Curves ⋮ Simple connectivity of Fargues-Fontaine curves ⋮ Logarithmic growth filtrations for -modules over the bounded Robba ring ⋮ Ramification of higher local fields, approaches and questions ⋮ Nonarchimedean geometry of Witt vectors ⋮ Umbral calculus in Ore extensions ⋮ Corrigendum: Around -independence ⋮ Frobenius action on a hypergeometric curve and an algorithm for computing values of Dwork's \(p\)-adic hypergeometric functions ⋮ -modules on rigid analytic spaces III: weak holonomicity and operations ⋮ Algébricité modulo $p$, séries hypergéométriques et structures de Frobenius fortes ⋮ Cleanliness and log-characteristic cycles for vector bundles with flat connections ⋮ Bessel \(F\)-isocrystals for reductive groups
