Arithmetic deformation theory via arithmetic fundamental groups and non-Archimedean theta-functions, notes on the work of Shinichi Mochizuki

DOI10.1007/s40879-015-0066-0zbMath1416.11119OpenAlexW1931142382WikidataQ55968419 ScholiaQ55968419MaRDI QIDQ888768

I. B. Fesenko

Publication date: 2 November 2015

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40879-015-0066-0

zbMATH Keywords

fundamental groupsinter-universal Teichmüller theoryarithmetic deformationdeconstruction and reconstruction of ring structureskey conjectures in Diophantine geometrylog-theta-latticemono-anabelian geometrynonarchimedean theta function and its special valuestheta-links

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves over global fields (11G05) Arithmetic algebraic geometry (Diophantine geometry) (11G99) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Fine and coarse moduli spaces (14D22)

Related Items (2)

Class field theory, its three main generalisations, and applications ⋮ Canonical models of arithmetic (1;∞)-curves

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