Callegaro, Filippo and D’Adderio, Michele and Delucchi, Emanuele and Migliorini, Luca and Pagaria, Roberto (2019) Orlik-Solomon type presentations for the cohomology algebra of toric arrangements. Transactions of the American Mathematical Society, 373 (3). pp. 1909-1940. ISSN 0002-9947
Full text not available from this repository. (Request a copy)Abstract
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.
| Item Type: | Scientific journal article, Newspaper article or Magazine article |
|---|---|
| Subjects: | Mathematical sciences |
| Department/unit: | Dipartimento tecnologie innovative > Istituto Dalle Molle di studi sull'intelligenza artificiale |
| Depositing User: | Emanuele Delucchi |
| Date Deposited: | 07 Jun 2022 09:21 |
| Last Modified: | 07 Jun 2022 09:22 |
| URI: | http://repository.supsi.ch/id/eprint/13432 |
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