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.

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.
Giovanni Mongardi; John Christian Ottem
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11585/712293
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