Integral cohomology of the generalized Kummer fourfold
| Affiliation auteurs | !!!! Error affiliation !!!! |
| Titre | Integral cohomology of the generalized Kummer fourfold |
| Type de publication | Journal Article |
| Year of Publication | 2018 |
| Auteurs | Kapfer S, Menet G |
| Journal | ALGEBRAIC GEOMETRY |
| Volume | 5 |
| Pagination | 523-567 |
| Date Published | SEP |
| Type of Article | Article |
| ISSN | 2313-1691 |
| Mots-clés | Beauville-Bogomolov form, generalized Kummer fourfolds, integral cohomology, irreducible symplectic V-manifolds, Nakajima operators |
| Résumé | We describe the integral cohomology of the generalized Kummer fourfold, giving an explicit basis, using Hilbert scheme cohomology and tools developed by Hassett and Tschinkel. Then, we apply our results to an irreducible holomorphic symplectic variety with singularities, obtained by a partial resolution of the generalized Kummer fourfold quotiented by a symplectic involution. We calculate the Beauville-Bogomolov form of this new variety, presenting the first example of such a form that is odd. |
| DOI | 10.14231/AG-2018-014 |