{"title":"Logarithmic Enriques varieties","authors":"Samuel Boissiere, Chiara Camere, Alessandra Sarti","doi":"arxiv-2409.09160","DOIUrl":null,"url":null,"abstract":"We introduce logarithmic Enriques varieties as a singular analogue of\nEnriques manifolds, generalizing the notion of log-Enriques surfaces introduced\nby Zhang. We focus then on the properties of the subfamily of log-Enriques\nvarieties that admit a quasi-\\'etale cover by a singular symplectic variety and\nwe give many examples.","PeriodicalId":501063,"journal":{"name":"arXiv - MATH - Algebraic Geometry","volume":"2 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-13","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-2409.09160","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 introduce logarithmic Enriques varieties as a singular analogue of
Enriques manifolds, generalizing the notion of log-Enriques surfaces introduced
by Zhang. We focus then on the properties of the subfamily of log-Enriques
varieties that admit a quasi-\'etale cover by a singular symplectic variety and
we give many examples.
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