The Hodge standard conjecture for self-products of K3 surfaces
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.
Authors
- Tetsushi Ito (ORCID: https://orcid.org/0000-0002-6199-0218)
- Teruhisa Koshikawa
- Kazuhiro Ito (ORCID: https://orcid.org/0000-0002-0939-5884)
Institutions
- Tohoku University (JP)
- Kyoto University (JP)
Publication Details
- Journal
- Journal of Algebraic Geometry
- Published
- 2024-10-03
- DOI
- https://doi.org/10.1090/jag/840
- Citations
- 1
- Primary Topic
- Algebraic Geometry and Number Theory
- Type
- article
- Field-Weighted Citation Impact
- 1.01
Funders
- Japan Society for the Promotion of Science