On the rational function field of real curves without real points

Authors

  • Manuel Ojanguren EPFL, Losanna

DOI:

https://doi.org/10.1478/AAPP.972A1

Keywords:

Real curves, quasi algebracally closed field

Abstract

Let F be the field of rational functions of a real algebraic curve without real points. It is well-known that in F we can express -1 as a sum of two squares. We show that -1 is also a sum of four fourth powers, six sixth powers, and so on.

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Published

2019-07-06

Issue

Vol. 97 No. 2 (2019)

Section

Articles

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