Inter-universal Teichmüller theory. I: Construction of Hodge theaters

DOI10.4171/PRIMS/57-1-1zbMath1465.14002MaRDI QIDQ1997747

Shinichi Mochizuki

Publication date: 6 March 2021

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

zbMATH Keywords

inter-universal Teichmüller theorypunctured elliptic curvecanonical generatorabsolute anabelian geometryétale theta functionglobal multiplicative subspaceHodge theatertheta-link

Mathematics Subject Classification ID

Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) (14G32) Arithmetic ground fields for curves (14H25) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Coverings of curves, fundamental group (14H30)

Related Items (13)

Explicit estimates in inter-universal Teichmüller theory ⋮ Height functions for motives ⋮ Arithmetic deformation theory via arithmetic fundamental groups and non-Archimedean theta-functions, notes on the work of Shinichi Mochizuki ⋮ Birational anabelian Grothendieck conjecture for curves over arbitrary cyclotomic extension fields of number fields ⋮ The geometry of hyperbolic curvoids ⋮ Unnamed Item ⋮ Class field theory, its three main generalisations, and applications ⋮ Inter-universal Teichmüller theory. II: Hodge-Arakelov-theoretic evaluation ⋮ Inter-universal Teichmüller theory. III: Canonical splittings of the log-theta-lattice ⋮ Inter-universal Teichmüller theory. IV: Log-volume computations and set-theoretic foundations ⋮ Improved lower bounds for possible solutions in the second case of the Fermat last theorem and in the Catalan equation ⋮ Canonical models of arithmetic (1;∞)-curves ⋮ Internal indecomposability of profinite groups

Cites Work

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• Inter-universal Teichmüller theory. IV: Log-volume computations and set-theoretic foundations
• Hitchin-Mochizuki morphism, opers and Frobenius-destabilized vector bundles over curves
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