{"title":"实代数gm流形上的代数循环及其应用","authors":"Vyacheslav A Krasnov","doi":"10.1070/IM1994v043n01ABEH001554","DOIUrl":null,"url":null,"abstract":"For an algebraic cycle on a real algebraic GM-manifold , the relationship between the homology classes and is studied. It is shown that similar relations hold for smooth cycles on a GM-surface. The results are applied to prove congruences for the Euler characteristic of the set .","PeriodicalId":158473,"journal":{"name":"Russian Academy of Sciences. Izvestiya Mathematics","volume":"47 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":"{\"title\":\"ALGEBRAIC CYCLES ON A REAL ALGEBRAIC GM-MANIFOLD AND THEIR APPLICATIONS\",\"authors\":\"Vyacheslav A Krasnov\",\"doi\":\"10.1070/IM1994v043n01ABEH001554\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"For an algebraic cycle on a real algebraic GM-manifold , the relationship between the homology classes and is studied. It is shown that similar relations hold for smooth cycles on a GM-surface. The results are applied to prove congruences for the Euler characteristic of the set .\",\"PeriodicalId\":158473,\"journal\":{\"name\":\"Russian Academy of Sciences. Izvestiya Mathematics\",\"volume\":\"47 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"8\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Russian Academy of Sciences. Izvestiya Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1070/IM1994v043n01ABEH001554\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Russian Academy of Sciences. Izvestiya Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1070/IM1994v043n01ABEH001554","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
ALGEBRAIC CYCLES ON A REAL ALGEBRAIC GM-MANIFOLD AND THEIR APPLICATIONS
For an algebraic cycle on a real algebraic GM-manifold , the relationship between the homology classes and is studied. It is shown that similar relations hold for smooth cycles on a GM-surface. The results are applied to prove congruences for the Euler characteristic of the set .