{"title":"循环同调，Serre的局部因子和-运算","authors":"A. Connes, C. Consani","doi":"10.1017/IS014006012JKT270","DOIUrl":null,"url":null,"abstract":"We show that for a smooth, projective variety X defined over a number field K, cyclic homology with coefficients in the ringA∞ = Q ν|∞ Kν, provides the right theory to obtain, using the λ-operations, Serre’s archimedean local factors of the complex Lfunction of X as regularized determinants. Contents","PeriodicalId":50167,"journal":{"name":"Journal of K-Theory","volume":"14 1","pages":"1-45"},"PeriodicalIF":0.0000,"publicationDate":"2012-11-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1017/IS014006012JKT270","citationCount":"25","resultStr":"{\"title\":\"Cyclic homology, Serre's local factors and the -operations\",\"authors\":\"A. Connes, C. Consani\",\"doi\":\"10.1017/IS014006012JKT270\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We show that for a smooth, projective variety X defined over a number field K, cyclic homology with coefficients in the ringA∞ = Q ν|∞ Kν, provides the right theory to obtain, using the λ-operations, Serre’s archimedean local factors of the complex Lfunction of X as regularized determinants. Contents\",\"PeriodicalId\":50167,\"journal\":{\"name\":\"Journal of K-Theory\",\"volume\":\"14 1\",\"pages\":\"1-45\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-11-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1017/IS014006012JKT270\",\"citationCount\":\"25\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of K-Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1017/IS014006012JKT270\",\"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/IS014006012JKT270","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Cyclic homology, Serre's local factors and the -operations
We show that for a smooth, projective variety X defined over a number field K, cyclic homology with coefficients in the ringA∞ = Q ν|∞ Kν, provides the right theory to obtain, using the λ-operations, Serre’s archimedean local factors of the complex Lfunction of X as regularized determinants. Contents
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