{"title":"字符种类的辛分辨率","authors":"G. Bellamy, T. Schedler","doi":"10.2140/gt.2023.27.51","DOIUrl":null,"url":null,"abstract":"In this article, we consider the $G$-character variety of a compact Riemann surface of genus $g > 0$, when $G$ is $\\mathrm{SL}(n,\\mathbb{C})$ or $\\mathrm{GL}(n,\\mathbb{C})$. We show that these varieties are symplectic singularities and classify when they admit symplectic resolutions: they do when $g = 1$ or $n = 1$ or $(g,n)=(2,2)$.","PeriodicalId":254292,"journal":{"name":"Geometry & Topology","volume":"15 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"11","resultStr":"{\"title\":\"Symplectic resolutions of character varieties\",\"authors\":\"G. Bellamy, T. Schedler\",\"doi\":\"10.2140/gt.2023.27.51\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article, we consider the $G$-character variety of a compact Riemann surface of genus $g > 0$, when $G$ is $\\\\mathrm{SL}(n,\\\\mathbb{C})$ or $\\\\mathrm{GL}(n,\\\\mathbb{C})$. We show that these varieties are symplectic singularities and classify when they admit symplectic resolutions: they do when $g = 1$ or $n = 1$ or $(g,n)=(2,2)$.\",\"PeriodicalId\":254292,\"journal\":{\"name\":\"Geometry & Topology\",\"volume\":\"15 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-09-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"11\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Geometry & Topology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2140/gt.2023.27.51\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Geometry & Topology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2140/gt.2023.27.51","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this article, we consider the $G$-character variety of a compact Riemann surface of genus $g > 0$, when $G$ is $\mathrm{SL}(n,\mathbb{C})$ or $\mathrm{GL}(n,\mathbb{C})$. We show that these varieties are symplectic singularities and classify when they admit symplectic resolutions: they do when $g = 1$ or $n = 1$ or $(g,n)=(2,2)$.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
