{"title":"Stratification of Derived Categories of Tate Motives","authors":"David Rubinstein","doi":"arxiv-2406.13088","DOIUrl":null,"url":null,"abstract":"We classify the localizing tensor ideals of the derived categories of mixed\nTate motives over certain algebraically closed fields. More precisely, we prove\nthat these categories are stratified in the sense of Barthel, Heard and\nSanders. A key ingredient in the proof is the development of a new technique\nfor transporting stratification between categories by means of Brown--Adams\nrepresentability, which may be of independent interest.","PeriodicalId":501143,"journal":{"name":"arXiv - MATH - K-Theory and Homology","volume":"20 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - K-Theory and Homology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2406.13088","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 classify the localizing tensor ideals of the derived categories of mixed
Tate motives over certain algebraically closed fields. More precisely, we prove
that these categories are stratified in the sense of Barthel, Heard and
Sanders. A key ingredient in the proof is the development of a new technique
for transporting stratification between categories by means of Brown--Adams
representability, which may be of independent interest.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
