Perverse-Hodge octahedron
Algebraic Geometry
2024-09-04 v1
Abstract
The perverse-Hodge octahedron is a 3D enhancement of the Hodge diamond of a compact hyperk\"{a}hler manifold. Its existence is equivalent to Nagai's conjecture, which holds for all known deformation types. The octahedron appears implicitly in Huybrechts-Mauri and Shen-Yin.
Cite
@article{arxiv.2409.01800,
title = {Perverse-Hodge octahedron},
author = {Mirko Mauri},
journal= {arXiv preprint arXiv:2409.01800},
year = {2024}
}
Comments
5 pages. To appear at ZAG volume CRC press