{"title":"Rationality of Brauer-Severi surface bundles over rational 3-folds","authors":"Shitan Xu","doi":"arxiv-2409.08504","DOIUrl":null,"url":null,"abstract":"We give a sufficient condition for a Brauer-Severi surface bundle over a\nrational 3-fold to not be stably rational. Additionally, we present an example\nthat satisfies this condition and demonstrate the existence of families of\nBrauer-Severi surface bundles whose general members are smooth and not stably\nrational.","PeriodicalId":501063,"journal":{"name":"arXiv - MATH - Algebraic Geometry","volume":null,"pages":null},"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-2409.08504","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 give a sufficient condition for a Brauer-Severi surface bundle over a
rational 3-fold to not be stably rational. Additionally, we present an example
that satisfies this condition and demonstrate the existence of families of
Brauer-Severi surface bundles whose general members are smooth and not stably
rational.
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