{"title":"初等循环群上的等变形式群定律和复取向谱:椭圆曲线，Barsotti-Tate群和其他例子","authors":"Po Hu, Igor Kriz, Petr Somberg","doi":"10.1007/s40062-021-00291-7","DOIUrl":null,"url":null,"abstract":"<div><p>We explicitly construct and investigate a number of examples of <span>\\({\\mathbb {Z}}/p^r\\)</span>-equivariant formal group laws and complex-oriented spectra, including those coming from elliptic curves and <i>p</i>-divisible groups, as well as some other related examples.</p></div>","PeriodicalId":636,"journal":{"name":"Journal of Homotopy and Related Structures","volume":"16 4","pages":"635 - 665"},"PeriodicalIF":0.5000,"publicationDate":"2021-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40062-021-00291-7.pdf","citationCount":"1","resultStr":"{\"title\":\"Equivariant formal group laws and complex-oriented spectra over primary cyclic groups: elliptic curves, Barsotti–Tate groups, and other examples\",\"authors\":\"Po Hu, Igor Kriz, Petr Somberg\",\"doi\":\"10.1007/s40062-021-00291-7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We explicitly construct and investigate a number of examples of <span>\\\\({\\\\mathbb {Z}}/p^r\\\\)</span>-equivariant formal group laws and complex-oriented spectra, including those coming from elliptic curves and <i>p</i>-divisible groups, as well as some other related examples.</p></div>\",\"PeriodicalId\":636,\"journal\":{\"name\":\"Journal of Homotopy and Related Structures\",\"volume\":\"16 4\",\"pages\":\"635 - 665\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2021-09-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://link.springer.com/content/pdf/10.1007/s40062-021-00291-7.pdf\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Homotopy and Related Structures\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s40062-021-00291-7\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Homotopy and Related Structures","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s40062-021-00291-7","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Equivariant formal group laws and complex-oriented spectra over primary cyclic groups: elliptic curves, Barsotti–Tate groups, and other examples
We explicitly construct and investigate a number of examples of \({\mathbb {Z}}/p^r\)-equivariant formal group laws and complex-oriented spectra, including those coming from elliptic curves and p-divisible groups, as well as some other related examples.
期刊介绍：
Journal of Homotopy and Related Structures (JHRS) is a fully refereed international journal dealing with homotopy and related structures of mathematical and physical sciences.
Journal of Homotopy and Related Structures is intended to publish papers on
Homotopy in the broad sense and its related areas like Homological and homotopical algebra, K-theory, topology of manifolds, geometric and categorical structures, homology theories, topological groups and algebras, stable homotopy theory, group actions, algebraic varieties, category theory, cobordism theory, controlled topology, noncommutative geometry, motivic cohomology, differential topology, algebraic geometry.
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