{"title":"射影特殊线性动作的代数实现","authors":"Karl Heinz Dovermann, Vincent Giambalvo","doi":"10.1007/s12188-021-00236-0","DOIUrl":null,"url":null,"abstract":"<div><p>Suppose <span>\\(q=p^r\\)</span>, where <i>p</i> is a prime congruent to 3 or 5 modulo 8 and <i>r</i> is odd or <span>\\(q = 2^r\\)</span> for any <i>r</i>. Then every closed smooth <span>\\({\\text {PSL}}(2,q)\\)</span> manifold has a strongly algebraic model.\n</p></div>","PeriodicalId":50932,"journal":{"name":"Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg","volume":"91 1","pages":"15 - 28"},"PeriodicalIF":0.4000,"publicationDate":"2021-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s12188-021-00236-0","citationCount":"2","resultStr":"{\"title\":\"Algebraic realization for projective special linear actions\",\"authors\":\"Karl Heinz Dovermann, Vincent Giambalvo\",\"doi\":\"10.1007/s12188-021-00236-0\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Suppose <span>\\\\(q=p^r\\\\)</span>, where <i>p</i> is a prime congruent to 3 or 5 modulo 8 and <i>r</i> is odd or <span>\\\\(q = 2^r\\\\)</span> for any <i>r</i>. Then every closed smooth <span>\\\\({\\\\text {PSL}}(2,q)\\\\)</span> manifold has a strongly algebraic model.\\n</p></div>\",\"PeriodicalId\":50932,\"journal\":{\"name\":\"Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg\",\"volume\":\"91 1\",\"pages\":\"15 - 28\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2021-05-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1007/s12188-021-00236-0\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s12188-021-00236-0\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s12188-021-00236-0","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Algebraic realization for projective special linear actions
Suppose \(q=p^r\), where p is a prime congruent to 3 or 5 modulo 8 and r is odd or \(q = 2^r\) for any r. Then every closed smooth \({\text {PSL}}(2,q)\) manifold has a strongly algebraic model.
期刊介绍：
The first issue of the "Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg" was published in the year 1921. This international mathematical journal has since then provided a forum for significant research contributions. The journal covers all central areas of pure mathematics, such as algebra, complex analysis and geometry, differential geometry and global analysis, graph theory and discrete mathematics, Lie theory, number theory, and algebraic topology.
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