We prove that the integral Hodge conjecture holds for 1-cycles on irreducible holomorphic symplectic varieties of K3[n]-type and of generalized Kummer type. As an application, we give a new proof of the integral Hodge conjecture for cubic fourfolds.
Giovanni Mongardi, John Christian Ottem (2020). Curve classes on irreducible holomorphic symplectic varieties. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 22(7), 1-15 [10.1142/S0219199719500780].
Curve classes on irreducible holomorphic symplectic varieties
Giovanni Mongardi;
2020
Abstract
We prove that the integral Hodge conjecture holds for 1-cycles on irreducible holomorphic symplectic varieties of K3[n]-type and of generalized Kummer type. As an application, we give a new proof of the integral Hodge conjecture for cubic fourfolds.File in questo prodotto:
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