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arXiv · 1805.12019

Curve classes on irreducible holomorphic symplectic varieties

Giovanni Mongardi·John Christian Ottem
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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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Giovanni Mongardi, John Christian Ottem. 2019-08-08. Curve classes on irreducible holomorphic symplectic varieties. https://arxiv.org/abs/1805.12019

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