Andradas Heranz, Carlos2023-06-212023-06-2119850092-787210.1080/00927878508823209https://hdl.handle.net/20.500.14352/64610Let F/R be a function field over a real closed field R. The author proves the existence of real places with prescribed rank and dimension (where these numbers satisfy obvious conditions). The main tool, a Zariski-dense curve selection lemma, is interesting in its own right. Recent papers of F.-V. Kuhlmann and A. Prestel [J. Reine Angew. Math. 353, 181-195 (1984; Zbl 0535.12015] and of L. Br¨ocker and the referent [”Valuations of function fields from the geometrical point of view”, to appear in J. Reine Angew. Math.] extend these results to a more general situation.journal articlehttp://rmmc.eas.asu.edu/abstracts/rmj/vol14-4/andpag1.pdfmetadata only access512.7Real function fieldsReal placesZariski-dense curve selection lemmaGeometria algebraica1201.01 Geometría Algebraica