# [Algebraic Kuga–Satake correspondences and Hodge conjectures on a K3 quadratic locus](paper.pdf)

**Author:** OpenAI

**Date:** September 30, 2026

## Citation

```bibtex
@misc{OAI:Algebraic-Kuga-Satake-correspondences-and-Hodge-conjectures-on-a-K3-quadratic-locus-September-30-2026,
  author = {{OpenAI}},
  title = {{Algebraic Kuga--Satake correspondences and Hodge conjectures on a K3 quadratic locus}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Algebraic-Kuga-Satake-correspondences-and-Hodge-conjectures-on-a-K3-quadratic-locus-September-30-2026/paper.pdf}{OAI:Algebraic-Kuga-Satake-correspondences-and-Hodge-conjectures-on-a-K3-quadratic-locus-September-30-2026}},
  year = {2026}
}
```