Perverse-Hodge octahedron
arXiv:2409.01800
Abstract
The perverse-Hodge octahedron is a 3D enhancement of the Hodge diamond of a compact hyperkähler 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.
5 pages. To appear at ZAG volume CRC press