Corps visible, corps caché dans la poésie des troubadours

Multiplication Complexe et Équivalence Élémentaire Dans Le Langage des Corps

Résumé. Soit K et K ′ deux corps elliptiques avec multiplication complexe sur un corps algébriquement clos k de caractéristique 0, non k-isomorphes, et soit C et C ′ deux courbes ayant pour corps de fonctions K et K ′ respectivement. Nous démontrons que si les anneaux d’endomorphismes de C et de C ′ ne sont pas isomorphes, alors K et K ′ ne sont pas élémentairement équivalents dans le langage d...

L'Homme et son corps dans la société traditionnelle

a Pergamene, friend of Galen's father, who had come to Rome ten years before Galen (p. 157), and later impugns Galen's motives on the basis of the supposed family connexion (p. 160). No evidence is cited, and there is none. The background here is that J. Ilberg, Neue Jahrb. 1905, 15: 286-287, conjectured that Eudemus must have been part of a kind ofPergamene Mafia whose members boosted one anot...

Quelques remarques concernant la théorie des corps ordonnés différentiellement clos

We first propose a “geometrical” axiomatization for the theory of closed ordered differential fields (denoted CODF) introduced by M.Singer in 1978 (see [Si]). This axiomatization is the analogue of the Pierce-Pillay axiomatization for the theory of differentially closed fields of characteristic zero (see [PP]). We also remark that a differential lifting principle can be used to prove that CODF ...

Extraction de la toxine de Clostridium chauvoei a partir des corps microibens

Stabilité Polynômiale des Corps Différentiels

A notion of complexity for an arbitrary structure was defined in the book of Poizat Les petits cailloux (1995): we can define P and NP problems over a differential field K. Using the Witness Theorem of Blum et al., we prove the P-stability of the theory of differential fields: a P problem over a differential field K is still P when restricts to a sub-differential field k of K. As a consequence,...