John Christian Ottem, Giovanni Mongardi
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.
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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.
Key concepts: Mathematics, Symplectic geometry, Holomorphic function, Pure mathematics, Conjecture, Type (biology), Hodge conjecture, Symplectic representation