Rigid Real Closed Fields
David Marker, Charles Steinhorn
TL;DR
This paper constructs a specific non-Archimedean real closed field of transcendence degree two that has no non-trivial automorphisms, contributing to the understanding of automorphism groups in real closed fields.
Contribution
It provides an explicit example of a non-Archimedean real closed field with trivial automorphism group, a novel construction in the field of real algebraic geometry.
Findings
Constructed a non-Archimedean real closed field of transcendence degree two
Proved the field has no non-trivial automorphisms
Contributed to the classification of automorphism groups in real closed fields
Abstract
We construct a non-Archimedean real closed field of transcendence degree two with no non-trivial automorphisms
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Taxonomy
TopicsPolynomial and algebraic computation · Advanced Differential Equations and Dynamical Systems · Homotopy and Cohomology in Algebraic Topology