稳定两种类型阳性特征的变异

Pub Date : 2019-03-14 DOI:10.46298/epiga.2020.volume3.5728

Stefan Schreieder

{"title":"稳定两种类型阳性特征的变异","authors":"Stefan Schreieder","doi":"10.46298/epiga.2020.volume3.5728","DOIUrl":null,"url":null,"abstract":"Let k be an uncountable algebraically closed field and let Y be a smooth\nprojective k-variety which does not admit a decomposition of the diagonal. We\nprove that Y is not stably birational to a very general hypersurface of any\ngiven degree and dimension. We use this to study the variation of the stable\nbirational types of Fano hypersurfaces over fields of arbitrary characteristic.\nThis had been initiated by Shinder, whose method works in characteristic zero.\n\n Comment: 14 pages; final version, published in EPIGA","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"Variation of stable birational types in positive characteristic\",\"authors\":\"Stefan Schreieder\",\"doi\":\"10.46298/epiga.2020.volume3.5728\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let k be an uncountable algebraically closed field and let Y be a smooth\\nprojective k-variety which does not admit a decomposition of the diagonal. We\\nprove that Y is not stably birational to a very general hypersurface of any\\ngiven degree and dimension. We use this to study the variation of the stable\\nbirational types of Fano hypersurfaces over fields of arbitrary characteristic.\\nThis had been initiated by Shinder, whose method works in characteristic zero.\\n\\n Comment: 14 pages; final version, published in EPIGA\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2019-03-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.46298/epiga.2020.volume3.5728\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46298/epiga.2020.volume3.5728","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 5

摘要

设k是不可数代数闭域，设Y是不允许对角线分解的光滑投影k-变种。我们证明了Y对任何给定度和维数的非常一般的超曲面都不是稳定的对偶的。我们用它来研究Fano超曲面在任意特征场上的稳定对偶型的变化。这是由Shinder发起的，他的方法适用于零特性。评论：14页；最终版本，发布于EPIGA

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

Variation of stable birational types in positive characteristic

Let k be an uncountable algebraically closed field and let Y be a smooth projective k-variety which does not admit a decomposition of the diagonal. We prove that Y is not stably birational to a very general hypersurface of any given degree and dimension. We use this to study the variation of the stable birational types of Fano hypersurfaces over fields of arbitrary characteristic. This had been initiated by Shinder, whose method works in characteristic zero. Comment: 14 pages; final version, published in EPIGA

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助