Explicit estimates in inter-universal Teichmüller theory

DOI10.2996/kmj45201OpenAlexW4283789527MaRDI QIDQ2157368

Shinichi Mochizuki, Yuichiro Hoshi, Wojciech Porowski, Arata Minamide, I. B. Fesenko

Publication date: 27 July 2022

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/kodai-mathematical-journal/volume-45/issue-2/Explicit-estimates-in-inter-universal-Teichm%c3%bcller-theory/10.2996/kmj45201.full

zbMATH Keywords

heightFermat's last theoremnumber fieldinter-universal Teichmüller theorySzpiro conjectureABC conjecturepunctured elliptic curveexplicit estimatediophantine inequalityeffective versionétale theta function6-torsion pointsmono-complex

Mathematics Subject Classification ID

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

Cites Work

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• The étale theta function and its Frobenioid-theoretic manifestations
• The canonical height and integral points on elliptic curves
• The absolute anabelian geometry of canonical curves
• Modular elliptic curves and Fermat's Last Theorem
• 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
• Inter-universal Teichmüller theory. IV: Log-volume computations and set-theoretic foundations
• A gap in the spectrum of the Faltings height
• Improved lower bounds for possible solutions in the second case of the Fermat last theorem and in the Catalan equation
• Double exponential lower bounds for possible solutions in the second case of the Fermat last theorem
• New bounds for the prime counting function \pi(x)
• Fermat's Last Theorem (Case 1) and the Wieferich Criterion
• The Arithmetic of Elliptic Curves
• Sharper Bounds for the Chebyshev Functions θ(x) and ψ(x)
• Canonical models of arithmetic (1;∞)-curves

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