Poincaré - Verdier duality in o-minimal structures

Edmundo, Mário J.; Prelli, Luca

doi:10.5802/aif.2554

Poincaré - Verdier duality in o-minimal structures
[Dualité de Poincaré - Verdier pour les structures o-minimales]

Edmundo, Mário J.¹ ; Prelli, Luca ²

¹ Universidade Aberta & CMAF Universidade de Lisboa Av. Prof. Gama Pinto 2 1649-003 Lisboa (Portugal)
² Università di Padova Dipartimento di Matematica Pura ed Applicata Via Trieste 63 35121 Padova (Italy)

Annales de l'Institut Fourier, Tome 60 (2010) no. 4, pp. 1259-1288.

Résumé
Abstract

On démontre une dualité de Poincaré - Verdier dans le cadre de la cohomologie o-minimale des faisceaux avec support compact et définissable sur des espaces définissablement normaux, définissablement localement compacts dans une structure o-minimale arbitraire.

Here we prove a Poincaré - Verdier duality theorem for the o-minimal sheaf cohomology with definably compact supports of definably normal, definably locally compact spaces in an arbitrary o-minimal structure.

DOI : 10.5802/aif.2554

Classification : 03C64, 55N30
Keywords: O-minimal structures, sheaf cohomology
Mot clés : Structure o-minimale, cohomologie des faisceaux

Affiliations des auteurs :

Edmundo, Mário J. ¹ ; Prelli, Luca ²

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     title = {Poincar\'e - {Verdier} duality in o-minimal structures},
     journal = {Annales de l'Institut Fourier},
     pages = {1259--1288},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
     volume = {60},
     number = {4},
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Edmundo, Mário J.; Prelli, Luca. Poincaré - Verdier duality in o-minimal structures. Annales de l'Institut Fourier, Tome 60 (2010) no. 4, pp. 1259-1288. doi : 10.5802/aif.2554. http://www.numdam.org/articles/10.5802/aif.2554/

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