{"title":"Perverse-Hodge octahedron","authors":"Mirko Mauri","doi":"arxiv-2409.01800","DOIUrl":null,"url":null,"abstract":"The perverse-Hodge octahedron is a 3D enhancement of the Hodge diamond of a\ncompact hyperk\\\"{a}hler manifold. Its existence is equivalent to Nagai's\nconjecture, which holds for all known deformation types. The octahedron appears\nimplicitly in Huybrechts-Mauri and Shen-Yin.","PeriodicalId":501063,"journal":{"name":"arXiv - MATH - Algebraic Geometry","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Algebraic Geometry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.01800","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
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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