Arithmetic deformation theory via arithmetic fundamental groups and non-Archimedean theta-functions, notes on the work of Shinichi Mochizuki
type: Item
instance of: scholarly article
title: Arithmetic deformation theory via arithmetic fundamental groups and non-Archimedean theta-functions, notes on the work of Shinichi Mochizuki
zbMATH Open document ID: 1416.11119
published in: European Journal of Mathematics
publication date: 2015-11-02T00:00:00Z
Mathematics Subject Classification ID: 11G99
Mathematics Subject Classification ID: 14G05
Mathematics Subject Classification ID: 11G05
Mathematics Subject Classification ID: 14D22
Mathematics Subject Classification ID: 14G40
zbMATH DE Number: 6502984
zbMATH Keywords: inter-universal Teichmüller theory
zbMATH Keywords: arithmetic deformation
zbMATH Keywords: key conjectures in Diophantine geometry
zbMATH Keywords: fundamental groups
zbMATH Keywords: mono-anabelian geometry
zbMATH Keywords: nonarchimedean theta function and its special values
zbMATH Keywords: deconstruction and reconstruction of ring structures
zbMATH Keywords: theta-links
zbMATH Keywords: log-theta-lattice
author: I. B. Fesenko
MaRDI profile type: Publication
full work available at URL: s40879-015-0066-0
OpenAlex ID: W1931142382
Wikidata QID: Q55968419
cites work: Symplectic Lefschetz fibrations with arbitrary fundamental groups. With an appendix by Ivan Smith
cites work: ON GALOIS EXTENSIONS OF A MAXIMAL CYCLOTOMIC FIELD
cites work: Hyperelliptic Szpiro inequality
cites work: Galois Theory and Projective Geometry
cites work: Q5719099
cites work: Q3727887
cites work: Q5653133
cites work: Finiteness theorems for abelian varieties over number fields.
cites work: Q3600692
cites work: Q4552286
cites work: Q3899115
cites work: Q4364755
cites work: Q4364756
cites work: Q4486426
cites work: Existence of nongeometric pro-\(p\) Galois sections of hyperbolic curves
cites work: Q5213210
cites work: Remark on fundamental groups and effective Diophantine methods for hyperbolic curves
cites work: Q4263461
cites work: Q3413444
cites work: Q4779771
cites work: Q4407866
cites work: The geometry of anabelioids
cites work: Q4673367
cites work: Semi-graphs of anabelioids
cites work: THE GEOMETRY OF FROBENIOIDS I: THE GENERAL THEORY
cites work: THE GEOMETRY OF FROBENIOIDS II: POLY-FROBENIOIDS
cites work: The étale theta function and its Frobenioid-theoretic manifestations
cites work: Q3400423
cites work: Q3143709
cites work: Q5495391
cites work: Inter-universal Teichmüller theory. I: Construction of Hodge theaters
cites work: Inter-universal Teichmüller theory. II: Hodge-Arakelov-theoretic evaluation
cites work: Q3451862
cites work: Q3997943
cites work: Q4254917
cites work: Q3445917
cites work: A course in model theory. An introduction to contemporary mathematical logic. Transl. from the French by Moses Klein
cites work: Lectures on anabelian phenomena in geometry and arithmetic
cites work: Elliptic curves. Notes from postgraduate lectures given in Lausanne 1971/72
cites work: Q4317891
cites work: Galois Groups and Fundamental Groups
cites work: Q4858026
cites work: Q4237133
cites work: Q3994900
cites work: Lecture on the abc Conjecture and Some of Its Consequences
cites work: Q4736192
DOI: 10.1007/S40879-015-0066-0
description: scientific article; zbMATH DE number 6502984