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Quadrature n° 74 (2009) 10-22
DOI: 10.1051/quadrature/2009015
Un peu de géométrie tropicale
Erwan Brugallé brugalle@math.jussieu.frPublished online: 4 September 2009
Abstract
Nous présentons ici les objets élémentaires de la géométrie tropicale. Après avoir introduit l'algèbre max-plus, nous expliquerons le sens des mots droite, courbe et polynôme dans ce nouveau contexte. Nous explorons ensuite quelques aspects du monde tropical reprenant des éléments de géométrie algébrique comme le théorème de Bézout ou le
16e problème de Hilbert (avec la notion de patchwork).
© EDP Sciences 2009
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