{"title":"有理 3 折叠上的布劳尔-塞维里曲面束的合理性","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":"{\"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}","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}
Rationality of Brauer-Severi surface bundles over rational 3-folds
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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