{"title":"一类代数数域的$ 1 $扩展的黎曼-赫维茨公式的类比","authors":"L. Kuz'min","doi":"10.1070/IM1991V036N02ABEH002024","DOIUrl":null,"url":null,"abstract":"For an -extension of an algebraic number field satisfying certain appropriate conditions the author obtains a formula analogous to the Riemann-Hurwitz formula. This formula connects the Iwasawa invariants of the fields and , where is some -extension of the field . It is not assumed that and are fields of CM-type.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"614 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1991-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"10","resultStr":"{\"title\":\"AN ANALOG OF THE RIEMANN-HURWITZ FORMULA FOR ONE TYPE OF $ l$-EXTENSION OF ALGEBRAIC NUMBER FIELDS\",\"authors\":\"L. Kuz'min\",\"doi\":\"10.1070/IM1991V036N02ABEH002024\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"For an -extension of an algebraic number field satisfying certain appropriate conditions the author obtains a formula analogous to the Riemann-Hurwitz formula. This formula connects the Iwasawa invariants of the fields and , where is some -extension of the field . It is not assumed that and are fields of CM-type.\",\"PeriodicalId\":159459,\"journal\":{\"name\":\"Mathematics of The Ussr-izvestiya\",\"volume\":\"614 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1991-04-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"10\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematics of The Ussr-izvestiya\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1070/IM1991V036N02ABEH002024\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics of The Ussr-izvestiya","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1070/IM1991V036N02ABEH002024","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
AN ANALOG OF THE RIEMANN-HURWITZ FORMULA FOR ONE TYPE OF $ l$-EXTENSION OF ALGEBRAIC NUMBER FIELDS
For an -extension of an algebraic number field satisfying certain appropriate conditions the author obtains a formula analogous to the Riemann-Hurwitz formula. This formula connects the Iwasawa invariants of the fields and , where is some -extension of the field . It is not assumed that and are fields of CM-type.
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