Integral cohomology of the generalized Kummer fourfold

Autor(es)

Kapfer, Simon ^[1] ; Menet, Gregoire ^{[2, 3]}

Afiliação do(s) autor(es)

^[1] Augsburg Univ, Inst Math, D-86159 Augsburg - Germany

^[2] Univ Estadual Campinas, Inst Matemat Estat & Camputacao Cient, Cx Postal 6065, BR-13083970 Campinas, SP - Brazil

^[3] Univ Burgundy, IMB, 9 Ave Alain Savary, F-21000 Dijon - France

• Tipo de documento: Artigo Científico
• Fonte: ALGEBRAIC GEOMETRY; v. 5, n. 5, p. 523-567, SEP 2018.
• Citações Web of Science: 0

Resumo

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. (AU)

• Processo FAPESP: 14/05733-9 - Geometria de variedades simpléticas irredutíveis
• Beneficiário: Grégoire Menet
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado