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

IF 0.5 4区 数学
Po Hu, Igor Kriz, Petr Somberg
{"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,&nbsp;Igor Kriz,&nbsp;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,&nbsp;Igor Kriz,&nbsp;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}
引用次数: 1

摘要

我们明确地构造和研究了\({\mathbb {Z}}/p^r\) -等变形式群定律和复取向谱的一些例子,包括那些来自椭圆曲线和p可分群的例子,以及其他一些相关的例子。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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.

求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
Journal of Homotopy and Related Structures
Journal of Homotopy and Related Structures Mathematics-Geometry and Topology
自引率
0.00%
发文量
0
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.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信