Semistable reduction for overconvergentF-isocrystals, III: Local semistable reduction at monomial valuations
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Publication:3616544
DOI10.1112/S0010437X08003783zbMath1184.14031arXiv0712.3400OpenAlexW2130335656MaRDI QIDQ3616544
Publication date: 25 March 2009
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0712.3400
de Rham cohomology and algebraic geometry (14F40) (p)-adic cohomology, crystalline cohomology (14F30)
Related Items (16)
Good formal structures for flat meromorphic connections. III: Irregularity and turning loci ⋮ Notes on isocrystals ⋮ Local and global structure of connections on nonarchimedean curves ⋮ On the compability of the Frobenius isomorphism with relative duality ⋮ La surcohérence entraîne l'holonomie ⋮ Overholonomicity of overconvergent \(F\)-isocrystals over smooth varieties ⋮ Unipotent monodromy and arithmetic \({\mathcal {D}}\)-modules ⋮ On logarithmic extension of overconvergent isocrystals ⋮ Good formal structures for flat meromorphic connections. I: Surfaces ⋮ Swan conductors for p-adic differential modules. II Global variation ⋮ Good formal structures for flat meromorphic connections, II: Excellent schemes ⋮ Convergence Polygons for Connections on Nonarchimedean Curves ⋮ $\mathcal{D}$-modules arithmétiques associés aux isocristaux surconvergents. Cas lisse ⋮ Log-isocristaux surconvergents et holonomie ⋮ Differential modules onp-adic polyannuli ⋮ On stability of \(\mathcal{D}\)-modules under tensor product of complex
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- Semistable reduction for overconvergent F-isocrystals, II: A valuation-theoretic approach
- LOCAL MONODROMY OF p-ADIC DIFFERENTIAL EQUATIONS: AN OVERVIEW
- Semistable reduction for overconvergent $F$-isocrystals I: Unipotence and logarithmic extensions
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