### Impacto

Andradas Heranz, Carlos
(1985)
*Real places in function-fields.*
Communications in algebra, 13
(5).
pp. 1151-1169.
ISSN 0092-7872

Official URL: http://rmmc.eas.asu.edu/abstracts/rmj/vol14-4/andpag1.pdf

## Abstract

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.

Item Type: | Article |
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Uncontrolled Keywords: | Real function fields; Real places; Zariski-dense curve selection lemma |

Subjects: | Sciences > Mathematics > Algebraic geometry |

ID Code: | 14865 |

Deposited On: | 18 Apr 2012 10:51 |

Last Modified: | 18 Apr 2012 10:51 |

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