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Comptes Rendus Mathématique
Volume 348, n° 15-16
pages 853-856 (août 2010)
Doi : 10.1016/j.crma.2010.06.011
Received : 3 Mars 2010 ;  accepted : 16 June 2010
Faisceaux pervers sur les variétés toriques lisses
Perverse sheaves on smooth toric varieties
 

Delphine Dupont
Laboratoire J.A. Dieudonné, UMR CNRS 6621, université de Nice–Sophia Antipolis, parc Valrose, 06108 Nice cedex 2, France 

Résumé

Soit X une variété torique lisse stratifiée par l'action du tore. À partir de l'éventail associée à X nous définissons une catégorie de représentations de carquois équivalente à la catégorie des faisceaux pervers sur X relativement à cette stratification.

The full text of this article is available in PDF format.
Abstract

Let X be a smooth toric variety stratified by the torus action. From the fan associated to X we define a category of quiver representations equivalent to the category of perverse sheaves on X relatively to the fixed stratification.

The full text of this article is available in PDF format.


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