{"title":"Weak quasi-\n \n F\n $F$\n -splitting and del Pezzo varieties","authors":"Tatsuro Kawakami, Hiromu Tanaka","doi":"10.1112/jlms.70098","DOIUrl":null,"url":null,"abstract":"<p>We show that smooth del Pezzo varieties in positive characteristic are quasi-<span></span><math>\n <semantics>\n <mi>F</mi>\n <annotation>$F$</annotation>\n </semantics></math>-split. To this end, we introduce weak quasi-<span></span><math>\n <semantics>\n <mi>F</mi>\n <annotation>$F$</annotation>\n </semantics></math>-splitting and we prove that general ladders of smooth del Pezzo varieties are normal.</p>","PeriodicalId":49989,"journal":{"name":"Journal of the London Mathematical Society-Second Series","volume":"111 2","pages":""},"PeriodicalIF":1.0000,"publicationDate":"2025-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the London Mathematical Society-Second Series","FirstCategoryId":"100","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1112/jlms.70098","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We show that smooth del Pezzo varieties in positive characteristic are quasi--split. To this end, we introduce weak quasi--splitting and we prove that general ladders of smooth del Pezzo varieties are normal.
期刊介绍：
The Journal of the London Mathematical Society has been publishing leading research in a broad range of mathematical subject areas since 1926. The Journal welcomes papers on subjects of general interest that represent a significant advance in mathematical knowledge, as well as submissions that are deemed to stimulate new interest and research activity.
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