A characterization of rational and elliptic real algebraic curves in terms of their space of orderings

DOI10.1216/RMJ-1984-14-3-499zbMATH Open0559.14014OpenAlexW2036653863MaRDI QIDQ802617

Jose Manuel Gamboa

Publication date: 1984

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-1984-14-3-499

zbMATH Keywords

elliptic curverational curveformally real fieldspace of orderingsdense orbits property\(Q_ 1\)-fieldsfunction fields of real algebraic varieties

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Rational and unirational varieties (14M20) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Special algebraic curves and curves of low genus (14H45) Ordered fields (12J15) Real algebraic and real-analytic geometry (14Pxx)

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