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Article Dans Une Revue Algebraic Geometry Année : 2018

Integral cohomology of the generalized Kummer fourfold

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.

Dates et versions

hal-01997500 , version 1 (29-01-2019)

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Simon Kapfer, Grégoire Menet. Integral cohomology of the generalized Kummer fourfold. Algebraic Geometry, 2018, 5 (5), pp.523-567. ⟨10.14231/AG-2018-014⟩. ⟨hal-01997500⟩
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