\(p\)-adic Hodge theory in rigid analytic families

DOI10.2140/ant.2015.9.371zbMath1330.14036arXiv1306.5685OpenAlexW3100324811MaRDI QIDQ2018356

Rebecca Bellovin

Publication date: 14 April 2015

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.5685

zbMATH Keywords

absolute Galois grouprigid analytic geometry\(p\)-adic Hodge theoryHodge-Tate filtrationperiod ringsrigid analytic family

Mathematics Subject Classification ID

Galois cohomology (11S25) (p)-adic theory, local fields (11F85) Galois representations (11F80) Rigid analytic geometry (14G22)

Related Items (13)

The eigencurve is proper ⋮ Cohomology of arithmetic families of (𝜑,Γ)-modules ⋮ On the locus of 2-dimensional crystalline representations with a given reduction modulo \(p\) ⋮ Companion points and locally analytic socle for \(\mathrm{GL}_2(L)\) ⋮ Paraboline variation over -adic families of -modules ⋮ LOCALLY ANALYTIC VECTORS AND OVERCONVERGENT -MODULES ⋮ Rigidity and a Riemann-Hilbert correspondence for \(p\)-adic local systems ⋮ Generic smoothness for \(G\)-valued potentially semi-stable deformation rings ⋮ On the \(p\)-adic local invariant cycle theorem ⋮ Interpolating Hodge-Tate and de Rham periods ⋮ Local constancy for reductions of two-dimensional crystalline representations ⋮ Constancy of generalized Hodge–Tate weights of a local system ⋮ Wach Modules, Regulator Maps, and $\varepsilon$-Isomorphisms in Families

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