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arXiv · 2409.01800

Perverse-Hodge octahedron

Mirko Mauri
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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.

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Mirko Mauri. 2024-09-03. Perverse-Hodge octahedron. https://arxiv.org/abs/2409.01800

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