On a geometric description of \(\text{Gal}(\bar{\mathbb Q}_p/\mathbb Q_p)\) and a \(p\)-adic avatar of \(\widehat{GT}\)
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Publication:1409332
DOI10.1215/S0012-7094-03-11911-0zbMath1155.11356arXivmath/0203181OpenAlexW1491625764MaRDI QIDQ1409332
Publication date: 13 October 2003
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0203181
Galois theory (11S20) Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) (14G32) Local ground fields in algebraic geometry (14G20) Homotopy theory and fundamental groups in algebraic geometry (14F35)
Related Items (14)
Covers inp-adic analytic geometry and log covers II: cospecialization of the (p′)-tempered fundamental group in higher dimensions ⋮ Little survey on I/OM and its variants and their relation to (variants of) \(\widehat{GT}\) -- old \& new ⋮ The Galois action on geometric lattices and the mod-\(\ell \) I/OM ⋮ On the combinatorial cuspidalization of hyperbolic curves ⋮ Anabelian reconstruction of the skeleton of analytic curves ⋮ Finite tripod variants of I/OM. On Ihara's question/Oda-Matsumoto conjecture ⋮ ON THE TEMPERED FUNDAMENTAL GROUPS OF HYPERBOLIC CURVES OF GENUS OVER ⋮ On the centralizer of the image of the universal outer monodromy representation of the moduli stack of pointed hyperbolic curves ⋮ Covers in \(p\)-adic analytic geometry and log covers. I: cospecialization of the \((p^\prime)\)-tempered fundamental group for a family of curves ⋮ A combinatorial version of the Grothendieck conjecture ⋮ Arithmetic in the fundamental group of a \(p\)-adic curve. On the \(p\)-adic section conjecture for curves ⋮ Semi-graphs of anabelioids ⋮ Volume and symplectic structure for \(\ell\)-adic local systems ⋮ The étale theta function and its Frobenioid-theoretic manifestations
Cites Work
- Finitely generated \(p\)-adic discontinuous groups
- Surfaces and planar discontinuous groups. Revised and expanded transl. from the German by J. Stillwell
- Smooth \(p\)-adic analytic spaces are locally contractible
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- The local pro-p anabelian geometry of curves
- Non-classical Gorenstein curves of arithmetic genus three and four
- Riemann's existence problem for a \(p\)-adic field
- The Automorphism Groups of Finite Extensions of Free Groups
- On the Residual Finiteness of Certain Mapping Class Groups
- Finite and infinite cyclic extensions of free groups
- Virtually free groups with finitely many outer automorphisms
- Mapping-class-group action versus Galois action on profinite fundamental groups
- Fundamental groups of moduli and the Grothendieck-Teichmüller group
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