scientific article; zbMATH DE number 6324545

zbMath1367.14011MaRDI QIDQ5495391

Shinichi Mochizuki

Publication date: 4 August 2014

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zbMATH Keywords

configuration spaceshyperbolic curvesabsolute anabelian geometryBelyi cuspidalization\(p\)-adic Section Conjectureabsolute \(p\)-adic Grothendieck Conjectureelliptic cuspidalizationhidden endomorphismspoint-theoreticity

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Coverings of curves, fundamental group (14H30)

Related Items (11)

The absolute anabelian geometry of quasi-tripods ⋮ The semi-absolute anabelian geometry of geometrically pro-\(p\) arithmetic fundamental groups of associated low-dimensional configuration spaces ⋮ Anabelian group-theoretic properties of the absolute Galois groups of discrete valuation fields ⋮ On the kernels of the pro-\(l\) outer Galois representations associated to hyperbolic curves over number fields ⋮ Arithmetic deformation theory via arithmetic fundamental groups and non-Archimedean theta-functions, notes on the work of Shinichi Mochizuki ⋮ On the semi-absoluteness of isomorphisms between the pro-\(p\) arithmetic fundamental groups of smooth varieties ⋮ Combinatorial Belyi cuspidalization and arithmetic subquotients of the Grothendieck-Teichmüller group ⋮ 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 ⋮ The cuspidalisation of sections of arithmetic fundamental groups. II

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