par Callegaro, Filippo;D'Adderio, Michele 
;Delucchi, Emanuele;Migliorini, Luca;Pagaria, Roberto
Référence Transactions of the American Mathematical Society, 373, 3, page (1909-1940)
Publication Publié, 2020
;Delucchi, Emanuele;Migliorini, Luca;Pagaria, RobertoRéférence Transactions of the American Mathematical Society, 373, 3, page (1909-1940)
Publication Publié, 2020
Article révisé par les pairs
| Résumé : | We give an explicit presentation for the integral cohomology ring of the complement of any arrangement of level sets of characters in a complex torus (alias “toric arrangement”). Our description parallels the one given by Orlik and Solomon for arrangements of hyperplanes and builds on De Concini and Procesi’s work on the rational cohomology of unimodular toric arrangements. As a byproduct we extend Dupont’s rational formality result to formality over Z. The data needed in order to state the presentation of the rational cohomology is fully encoded in the poset of connected components of intersections of the arrangement. |
