{"title":"全局场上齐次空间的弱逼近障碍及Brauer和r -等价关系","authors":"N. Q. Thang","doi":"10.3792/pjaa.98.016","DOIUrl":null,"url":null,"abstract":"We give some new formulae relating an obstruction to the weak approximation on homogeneous spaces to the set of local and global Brauer and R-equivalence classes.","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":"3 1","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2022-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A note on obstructions to weak approximation and Brauer and R-equivalence relations for homogeneous spaces over global fields\",\"authors\":\"N. Q. Thang\",\"doi\":\"10.3792/pjaa.98.016\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We give some new formulae relating an obstruction to the weak approximation on homogeneous spaces to the set of local and global Brauer and R-equivalence classes.\",\"PeriodicalId\":49668,\"journal\":{\"name\":\"Proceedings of the Japan Academy Series A-Mathematical Sciences\",\"volume\":\"3 1\",\"pages\":\"\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2022-11-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the Japan Academy Series A-Mathematical Sciences\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.3792/pjaa.98.016\",\"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":"Proceedings of the Japan Academy Series A-Mathematical Sciences","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.3792/pjaa.98.016","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
A note on obstructions to weak approximation and Brauer and R-equivalence relations for homogeneous spaces over global fields
We give some new formulae relating an obstruction to the weak approximation on homogeneous spaces to the set of local and global Brauer and R-equivalence classes.
期刊介绍:
The aim of the Proceedings of the Japan Academy, Series A, is the rapid publication of original papers in mathematical sciences. The paper should be written in English or French (preferably in English), and at most 6 pages long when published. A paper that is a résumé or an announcement (i.e. one whose details are to be published elsewhere) can also be submitted.
The paper is published promptly if once communicated by a Member of the Academy at its General Meeting, which is held monthly except in July and in August.