Inter-universal Teichmüller theory. II: Hodge-Arakelov-theoretic evaluation

DOI10.4171/PRIMS/57-1-2zbMath1465.14003MaRDI QIDQ1997748

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

Kummer theoryinter-universal Teichmüller theorypunctured elliptic curvelog-theta-latticecanonical generatorlog-linkétale theta functionglobal multiplicative subspacetheta-linkconjugate synchronizationcoricityétale-likeFrobenius-likeGalois evaluationGaussian FrobenioidHodge-Arakelov-theoretic evaluationlog-shelllog-volumemono-theta environmentmultiradialityuniradiality

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) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Related Items (5)

Explicit estimates in inter-universal Teichmüller theory ⋮ Arithmetic deformation theory via arithmetic fundamental groups and non-Archimedean theta-functions, notes on the work of Shinichi Mochizuki ⋮ Inter-universal Teichmüller theory. I: Construction of Hodge theaters ⋮ Inter-universal Teichmüller theory. III: Canonical splittings of the log-theta-lattice ⋮ Inter-universal Teichmüller theory. IV: Log-volume computations and set-theoretic foundations

Cites Work

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• Inter-universal Teichmüller theory. IV: Log-volume computations and set-theoretic foundations
• A combinatorial version of the Grothendieck conjecture
• Semi-graphs of anabelioids
• Galois Sections in Absolute Anabelian Geometry
• THE GEOMETRY OF FROBENIOIDS II: POLY-FROBENIOIDS

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