Inter-universal Teichmüller theory. IV: Log-volume computations and set-theoretic foundations

DOI10.4171/PRIMS/57-1-4zbMath1465.14005MaRDI QIDQ1997750

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

Diophantine inequalityindeterminacyspeciesintertwiningmutationnon-interferenceinter-universal Teichmüller theorymultiradial representationSzpiro conjectureABC conjectureholomorphic hulllog-theta-latticecanonical splittingVojta conjecturelog-link\( \Theta \)-pilot\(q\)-pilotalien arithmetic holomorphic structureKummer-detachmentlog-Kummer correspondencelog-shelllog-volumemonoanalyticmultiradial containerprocessiontensor-packetupper semi-commutativityupper semi-compatibility

Mathematics Subject Classification ID

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) Arithmetic algebraic geometry (Diophantine geometry) (11Gxx)

Related Items (11)

Bogomolov's proof of the geometric version of the Szpiro conjecture from the point of view of inter-universal Teichmüller theory ⋮ A replication crisis in mathematics? ⋮ Explicit estimates in inter-universal Teichmüller theory ⋮ Integral points and orbits of endomorphisms on the projective plane ⋮ Double exponential lower bounds for possible solutions in the second case of the Fermat last theorem ⋮ On the abc$abc$ conjecture in algebraic number fields ⋮ Inter-universal Teichmüller theory. I: Construction of Hodge theaters ⋮ Inter-universal Teichmüller theory. II: Hodge-Arakelov-theoretic evaluation ⋮ Inter-universal Teichmüller theory. III: Canonical splittings of the log-theta-lattice ⋮ A new generalization of Fermat's last theorem ⋮ On Landau–Siegel zeros and heights of singular moduli

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