{"title":"派生离散代数的派生等价关系是标准的","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":"{\"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}","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}
Derived equivalences for the derived discrete algebras are standard
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.