The Hodge standard conjecture for self-products of K3 surfaces

Kazuhiro Ito; Tetsushi Ito; Teruhisa Koshikawa

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arXiv · 2206.10086

The Hodge standard conjecture for self-products of K3 surfaces

Kazuhiro Ito·Tetsushi Ito·Teruhisa Koshikawa

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Abstract

As an application of our previous work on CM liftings of K3 surfaces and the Tate conjecture, we prove the Hodge standard conjecture for squares of K3 surfaces. We also deduce the Hodge standard conjecture for all the powers of certain K3 surfaces.

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Kazuhiro Ito, Tetsushi Ito, Teruhisa Koshikawa. 2022-06-21. The Hodge standard conjecture for self-products of K3 surfaces. https://arxiv.org/abs/2206.10086

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