Bogomolov's proof of the geometric version of the Szpiro conjecture from the point of view of inter-universal Teichmüller theory

DOI10.1186/s40687-016-0057-xzbMath1401.14134OpenAlexW2326102632WikidataQ59470626 ScholiaQ59470626MaRDI QIDQ296221

Shinichi Mochizuki

Publication date: 15 June 2016

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s40687-016-0057-x

zbMATH Keywords

symplectic geometrytheta functionGaussian distributionhyperbolic geometryBogomolov's proofindeterminaciesinter-universal Teichmüller theorymultiradial representationSzpiro conjectureupper half-plane

Mathematics Subject Classification ID

Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) (14G32) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Elliptic curves (14H52)

Related Items (1)

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

Cites Work

• The étale theta function and its Frobenioid-theoretic manifestations
• Symplectic Lefschetz fibrations with arbitrary fundamental groups. With an appendix by Ivan Smith
• Inter-universal Teichmüller theory. IV: Log-volume computations and set-theoretic foundations
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