{"title":"The Classification of Rigid Torus Quotients with Canonical Singularities in Dimension Three","authors":"Christian Gleissner, Julia Kotonski","doi":"arxiv-2409.01050","DOIUrl":null,"url":null,"abstract":"We provide a fine classification of rigid three-dimensional torus quotients\nwith isolated canonical singularities, up to biholomorphism and diffeomorphism.\nThis complements the classification of Calabi-Yau 3-folds of type $\\rm{III}_0$,\nwhich are those quotients with Gorenstein singularities.","PeriodicalId":501037,"journal":{"name":"arXiv - MATH - Group Theory","volume":"70 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Group Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.01050","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
We provide a fine classification of rigid three-dimensional torus quotients
with isolated canonical singularities, up to biholomorphism and diffeomorphism.
This complements the classification of Calabi-Yau 3-folds of type $\rm{III}_0$,
which are those quotients with Gorenstein singularities.
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