{"title":"模 2 Steenrod 代数上模块的张量三角几何","authors":"Collin Litterell","doi":"arxiv-2409.10731","DOIUrl":null,"url":null,"abstract":"We compute the Balmer spectrum of a certain tensor triangulated category of\ncomodules over the mod 2 dual Steenrod algebra. This computation effectively\nclassifies the thick subcategories, resolving a conjecture of Palmieri.","PeriodicalId":501119,"journal":{"name":"arXiv - MATH - Algebraic Topology","volume":"32 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Tensor triangular geometry of modules over the mod 2 Steenrod algebra\",\"authors\":\"Collin Litterell\",\"doi\":\"arxiv-2409.10731\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We compute the Balmer spectrum of a certain tensor triangulated category of\\ncomodules over the mod 2 dual Steenrod algebra. This computation effectively\\nclassifies the thick subcategories, resolving a conjecture of Palmieri.\",\"PeriodicalId\":501119,\"journal\":{\"name\":\"arXiv - MATH - Algebraic Topology\",\"volume\":\"32 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Algebraic Topology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.10731\",\"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 Topology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.10731","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Tensor triangular geometry of modules over the mod 2 Steenrod algebra
We compute the Balmer spectrum of a certain tensor triangulated category of
comodules over the mod 2 dual Steenrod algebra. This computation effectively
classifies the thick subcategories, resolving a conjecture of Palmieri.
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