A \(p\)-adic nonabelian criterion for good reduction of curves

DOI10.1215/00127094-3146817zbMath1347.11051OpenAlexW1879777187MaRDI QIDQ902252

Adrian Iovita, Minhyong Kim, Fabrizio Andreatta

Publication date: 7 January 2016

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

Full work available at URL: https://projecteuclid.org/euclid.dmj/1444051070

zbMATH Keywords

unipotent fundamental groupcrystalline siteFontaine's ringsgood reduction of a curve

Mathematics Subject Classification ID

Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) (14G32) Curves over finite and local fields (11G20) Rigid analytic geometry (14G22) (p)-adic cohomology, crystalline cohomology (14F30)

Related Items

On the homotopy exact sequence for log algebraic fundamental groups, Quadratic Chabauty and Rational Points II: Generalised Height Functions on Selmer Varieties, Around -independence, Local constancy of pro‐unipotent Kummer maps, Comparison of Relatively Unipotent Log de Rham Fundamental Groups, Computation of the unipotent Albanese map on elliptic and hyperelliptic curves, Fundamental groups and good reduction criteria for curves over positive characteristic local fields, Ramification in the cohomology of algebraic surfaces arising from ordinary double point singularities, A geometric construction of semistable extensions of crystalline representations, Good reduction criterion for \(K3\) surfaces, A monodromy criterion for the good reduction of \(K3\) surfaces, A Kulikov-type classification theorem for a one parameter family of \(K3\)-surfaces over a \(p\)-adic field and a good reduction criterion

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