{"title":"一类泛族稳定向量束的傅里叶- mukai变换","authors":"Fabian Reede","doi":"10.1142/s0129167x21500075","DOIUrl":null,"url":null,"abstract":"In this note we prove that the Fourier-Mukai transform $\\Phi_{\\mathcal{U}}$ induced by the universal family of the moduli space $\\mathcal{M}_{\\mathbb{P}^2}(4,1,3)$ is not fully faithful.","PeriodicalId":278201,"journal":{"name":"arXiv: Algebraic Geometry","volume":"52 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Fourier–Mukai transform of a universal family of stable vector bundles\",\"authors\":\"Fabian Reede\",\"doi\":\"10.1142/s0129167x21500075\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this note we prove that the Fourier-Mukai transform $\\\\Phi_{\\\\mathcal{U}}$ induced by the universal family of the moduli space $\\\\mathcal{M}_{\\\\mathbb{P}^2}(4,1,3)$ is not fully faithful.\",\"PeriodicalId\":278201,\"journal\":{\"name\":\"arXiv: Algebraic Geometry\",\"volume\":\"52 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-09-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv: Algebraic Geometry\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1142/s0129167x21500075\",\"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: Algebraic Geometry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/s0129167x21500075","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The Fourier–Mukai transform of a universal family of stable vector bundles
In this note we prove that the Fourier-Mukai transform $\Phi_{\mathcal{U}}$ induced by the universal family of the moduli space $\mathcal{M}_{\mathbb{P}^2}(4,1,3)$ is not fully faithful.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
