Work

Field Arithmetic

Year: 2019

Type: article

Abstract: Field Arithmetic studies the interrelation between arithmetic properties of fields and their absolute Galois groups. It is an interdisciplinary area that uses methods of algebraic number theory, commutative algebra, algebraic geometry, arithmetic geometry, finite and profinite groups, and nonarchimedean analysis. Some of the results are motivated by questions of model theory and used to establish results in (un-)decidability.

Source: Oberwolfach Reports

DOI: 10.4171/owr/2018/25

Authors: Lior Bary-Soroker, Florian Pop, Jakob Stix

Institutions: Tel Aviv University, University of Pennsylvania, Goethe University Frankfurt

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4240616454

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