{"title":"谱代数几何中准相干剪切的代数模型","authors":"Adam Pratt","doi":"arxiv-2408.07972","DOIUrl":null,"url":null,"abstract":"In this paper we prove the existence of an algebraic model for quasi-coherent\nsheaves on certain non-connective geometric stacks arising in stable homotopy\ntheory and spectral algebraic geometry using the machinery of adapted homology\ntheories.","PeriodicalId":501135,"journal":{"name":"arXiv - MATH - Category Theory","volume":"5 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Algebraic Models for Quasi-Coherent Sheaves in Spectral Algebraic Geometry\",\"authors\":\"Adam Pratt\",\"doi\":\"arxiv-2408.07972\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we prove the existence of an algebraic model for quasi-coherent\\nsheaves on certain non-connective geometric stacks arising in stable homotopy\\ntheory and spectral algebraic geometry using the machinery of adapted homology\\ntheories.\",\"PeriodicalId\":501135,\"journal\":{\"name\":\"arXiv - MATH - Category Theory\",\"volume\":\"5 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-08-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Category Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2408.07972\",\"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 - Category Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.07972","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Algebraic Models for Quasi-Coherent Sheaves in Spectral Algebraic Geometry
In this paper we prove the existence of an algebraic model for quasi-coherent
sheaves on certain non-connective geometric stacks arising in stable homotopy
theory and spectral algebraic geometry using the machinery of adapted homology
theories.