{"title":"关于曲线k群的局部到全局原理","authors":"Grzegorz Banaszak, P. Krasoń","doi":"10.1017/IS013003030JKT13223","DOIUrl":null,"url":null,"abstract":"Let X be a smooth, proper and geometrically irreducible curve X defined over a number field F and let X be a regular and proper model of X over OF;Sl : In this paper we address the problem of detecting the linear dependence over Zl of elements in the etale K-theory of X : To be more specific, let P 2Ket 2n.X / and let O ƒ K 2n.X / be a Zl -submodule. Let rv W K 2n.X /! K 2n.Xv/ be the reduction map for v ... Sl . We prove, under some conditions on X; that if rv. O P / 2 rv. O ƒ/ for almost all v of OF;Sl then O P 2 O ƒCKet 2n.X /tor :","PeriodicalId":50167,"journal":{"name":"Journal of K-Theory","volume":"12 1","pages":"183-201"},"PeriodicalIF":0.0000,"publicationDate":"2013-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1017/IS013003030JKT13223","citationCount":"5","resultStr":"{\"title\":\"On a local to global principle in étale K-groups of curves\",\"authors\":\"Grzegorz Banaszak, P. Krasoń\",\"doi\":\"10.1017/IS013003030JKT13223\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let X be a smooth, proper and geometrically irreducible curve X defined over a number field F and let X be a regular and proper model of X over OF;Sl : In this paper we address the problem of detecting the linear dependence over Zl of elements in the etale K-theory of X : To be more specific, let P 2Ket 2n.X / and let O ƒ K 2n.X / be a Zl -submodule. Let rv W K 2n.X /! K 2n.Xv/ be the reduction map for v ... Sl . We prove, under some conditions on X; that if rv. O P / 2 rv. O ƒ/ for almost all v of OF;Sl then O P 2 O ƒCKet 2n.X /tor :\",\"PeriodicalId\":50167,\"journal\":{\"name\":\"Journal of K-Theory\",\"volume\":\"12 1\",\"pages\":\"183-201\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1017/IS013003030JKT13223\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of K-Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1017/IS013003030JKT13223\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of K-Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1017/IS013003030JKT13223","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 5
摘要
设X是定义在数域F上的一条光滑的、固有的、几何上不可约的曲线X，设X是X在of上的一个正则的、固有的模型;Sl:本文研究了X的正则k理论中元素在Zl上的线性相关性的检测问题，更具体地说，设P 2Ket 2n。X /设0乘以k2n。X /是Zl -子模块。让rv wk2n。X / !K 2 n。Xv/是v的还原图…Sl。我们证明，在X的某些条件下;这是rv。O P / 2rv。对于几乎所有的v (of)都是O f /，然后O P 2 O ƒCKet 2n。X /tor:
On a local to global principle in étale K-groups of curves
Let X be a smooth, proper and geometrically irreducible curve X defined over a number field F and let X be a regular and proper model of X over OF;Sl : In this paper we address the problem of detecting the linear dependence over Zl of elements in the etale K-theory of X : To be more specific, let P 2Ket 2n.X / and let O ƒ K 2n.X / be a Zl -submodule. Let rv W K 2n.X /! K 2n.Xv/ be the reduction map for v ... Sl . We prove, under some conditions on X; that if rv. O P / 2 rv. O ƒ/ for almost all v of OF;Sl then O P 2 O ƒCKet 2n.X /tor :
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
