Curve classes on irreducible holomorphic symplectic varieties
Algebraic Geometry
2019-08-09 v2
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.
Keywords
Cite
@article{arxiv.1805.12019,
title = {Curve classes on irreducible holomorphic symplectic varieties},
author = {Giovanni Mongardi and John Christian Ottem},
journal= {arXiv preprint arXiv:1805.12019},
year = {2019}
}
Comments
15 pages