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arXiv · 2203.09778

The Hodge conjecture for powers of K3 surfaces of Picard number 16

Mauro Varesco
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Abstract

We study the Hodge conjecture for powers of K3 surfaces and show that if the Kuga--Satake correspondence is algebraic for a family of K3 surfaces of generic Picard number 16, then the Hodge conjecture holds for all powers of any K3 surface in that family.

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Mauro Varesco. 2022-03-18. The Hodge conjecture for powers of K3 surfaces of Picard number 16. https://arxiv.org/abs/2203.09778

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