Infoscience

Journal article

Splitting fields of conics and sums of squares of rational functions

Given a geometrically unirational variety over an infinite base field, we show that every finite separable extension of the base field that splits the variety is the residue field of a closed point. As an application, we obtain a characterization of function fields of smooth conics in which every sum of squares is a sum of two squares.

Fulltext

Related material