Andradas Heranz, Carlos (1985) Real places in function-fields. Communications in algebra, 13 (5). pp. 1151-1169. ISSN 0092-7872
Let 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.
|Uncontrolled Keywords:||Real function fields; Real places; Zariski-dense curve selection lemma|
|Subjects:||Sciences > Mathematics > Algebraic geometry|
|Deposited On:||18 Apr 2012 10:51|
|Last Modified:||18 Apr 2012 10:51|
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