Courbes Algbriques Planes (French Edition),Used

Courbes Algbriques Planes (French Edition),Used

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SKU: DADAX3540337075
Brand: Springer
Regular price$59.62
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Issu dun cours de matrise de lUniversit Paris VII, ce texte est rdit tel quil tait paru en 1978. A propos du thorme de Bzout sont introduits divers outils ncessaires au dveloppement de la notion de multiplicit dintersection de deux courbes algbriques dans le plan projectif complexe. Partant des notions lmentaires sur les sousensembles algbriques affines et projectifs, on dfinit les multiplicits dintersection et interprte leur somme entermes du rsultant de deux polynmes. Ltude locale est prtexte lintroduction des anneaux de srie formelles ou convergentes ; elle culmine dans le thorme de Puiseux dont la convergence est ramene par des clatements celle du thorme des fonctions implicites. Diverses figures clairent le texte: on y "voit" en particulier que lquation homogne x3+y3+z3 = 0dfinit un tore dans le plan projectif complexe.

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For more information, please visit www.P65Warnings.ca.gov.

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