{"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}
引用次数: 1
Abstract
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.
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