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Curve classes on irreducible holomorphic symplectic varieties (1805.12019v2)
Published 30 May 2018 in math.AG
Abstract: We prove that the integral Hodge conjecture holds for 1-cycles on irreducible holomorphic symplectic varieties of K3 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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