Curve classes on irreducible holomorphic symplectic varieties

Giovanni Mongardi, John Christian Ottem

Source record

Source: Crossref

Published: Nov 15, 2019

DOI: 10.1142/s0219199719500780

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Source abstract

We prove that the integral Hodge conjecture holds for 1-cycles on irreducible holomorphic symplectic varieties of [Formula: see text]-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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