The absolute anabelian geometry of canonical curves

zbMath1092.14507MaRDI QIDQ1419622

Shinichi Mochizuki

Publication date: 19 January 2004

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/126234

zbMATH Keywords

correspondencesGrothendieck conjecture, canonical lifting, \(p\)-adic Teichmüller theory

Mathematics Subject Classification ID

Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) (14G32) Arithmetic ground fields for curves (14H25) Curves over finite and local fields (11G20) Coverings of curves, fundamental group (14H30)

Related Items (11)

Explicit estimates in inter-universal Teichmüller theory ⋮ Belyi injectivity for outer representations on certain quotients of étale fundamental groups of hyperbolic curves of genus zero ⋮ The geometry of hyperbolic curvoids ⋮ Inter-universal Teichmüller theory. I: Construction of Hodge theaters ⋮ Inter-universal Teichmüller theory. II: Hodge-Arakelov-theoretic evaluation ⋮ Inter-universal Teichmüller theory. IV: Log-volume computations and set-theoretic foundations ⋮ Galois Sections in Absolute Anabelian Geometry ⋮ The étale theta function and its Frobenioid-theoretic manifestations ⋮ Canonical models of arithmetic (1;∞)-curves ⋮ On Monodromically Full Points of Configuration Spaces of Hyperbolic Curves ⋮ Group-theoreticity of numerical invariants and distinguished subgroups of configuration space groups

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