{"title":"傅氏奇点的代数理论","authors":"H. Lenzing","doi":"10.1090/CONM/761/15315","DOIUrl":null,"url":null,"abstract":"This article has the following aims: \n(1) Extend the notion of fuchsian singularities (of first kind) to base fields of arbitrary characteristic. \n(2) Discuss their relationship to mathematical objects of a different nature. \n(3) Provide a purely ring-theoretic characterization of fuchsian singularities. \n(4) Expoloit their singularity categories and their Grothendieck groups.","PeriodicalId":325430,"journal":{"name":"Advances in Representation Theory of\n Algebras","volume":"8 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"The algebraic theory of fuchsian\\n singularties\",\"authors\":\"H. Lenzing\",\"doi\":\"10.1090/CONM/761/15315\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This article has the following aims: \\n(1) Extend the notion of fuchsian singularities (of first kind) to base fields of arbitrary characteristic. \\n(2) Discuss their relationship to mathematical objects of a different nature. \\n(3) Provide a purely ring-theoretic characterization of fuchsian singularities. \\n(4) Expoloit their singularity categories and their Grothendieck groups.\",\"PeriodicalId\":325430,\"journal\":{\"name\":\"Advances in Representation Theory of\\n Algebras\",\"volume\":\"8 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-09-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Advances in Representation Theory of\\n Algebras\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1090/CONM/761/15315\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Representation Theory of\n Algebras","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1090/CONM/761/15315","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
This article has the following aims:
(1) Extend the notion of fuchsian singularities (of first kind) to base fields of arbitrary characteristic.
(2) Discuss their relationship to mathematical objects of a different nature.
(3) Provide a purely ring-theoretic characterization of fuchsian singularities.
(4) Expoloit their singularity categories and their Grothendieck groups.