{"title":"Derived equivalences for the derived discrete algebras are standard","authors":"Grzegorz Bobinski, Tomasz Ciborski","doi":"arxiv-2409.05158","DOIUrl":null,"url":null,"abstract":"We prove that any derived equivalence between derived discrete algebras is\nstandard, i.e.\\ is isomorphic to the derived tensor product by a two-sided\ntilting complex.","PeriodicalId":501038,"journal":{"name":"arXiv - MATH - Representation Theory","volume":"44 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Representation Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.05158","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 prove that any derived equivalence between derived discrete algebras is
standard, i.e.\ is isomorphic to the derived tensor product by a two-sided
tilting complex.