Notes on Nonlinear Number Fields
T.M. Gendron, A. Verjovsky
TL;DR
This paper provides a comprehensive guide to constructing nonlinear number fields, introducing new insights and extending previous work on geometric Galois theory and the Galois group interpretation of the idele class group.
Contribution
It introduces novel methods for constructing nonlinear number fields and expands on geometric Galois theory and idele class group interpretations.
Findings
New construction techniques for nonlinear number fields
Extended geometric Galois theory framework
Enhanced understanding of idele class group relationships
Abstract
This is a guide to the construction of nonlinear number fields, which includes new points not found in our earlier article ``Geometric Galois theory, nonlinear number fields and a Galois group interpretation of the idele class group''.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Homotopy and Cohomology in Algebraic Topology