Abstract
Let K be a purely trancendental extension of a field k with two variables. We want to classify fields {L}, which are quadratic extension of K. First we prove the existence of a normal form of the defining equation of L. Then we give a rough classification and several results. Lastly we mention of an application to the theory of plane curves.
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Yoshihara, H. Double coverings of rational surface. Manuscripta Math 75, 279–291 (1992). https://doi.org/10.1007/BF02567085
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DOI: https://doi.org/10.1007/BF02567085