{"title":"简化Steenrod运算和奇异点的求解","authors":"Olivier Haution","doi":"10.1017/is011006030jkt162","DOIUrl":null,"url":null,"abstract":"We give a new construction of a weak form of Steenrod operations for Chow groups modulo a prime number p for a certain class of varieties. This class contains projective homogeneous varieties which are either split or considered over a field admitting some form of resolution of singularities, for example any field of characteristic not p . These reduced Steenrod operations are sufficient for some applications to the theory of quadratic forms.","PeriodicalId":50167,"journal":{"name":"Journal of K-Theory","volume":"9 1","pages":"269-290"},"PeriodicalIF":0.0000,"publicationDate":"2010-06-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1017/is011006030jkt162","citationCount":"10","resultStr":"{\"title\":\"Reduced Steenrod operations and resolution of singularities\",\"authors\":\"Olivier Haution\",\"doi\":\"10.1017/is011006030jkt162\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We give a new construction of a weak form of Steenrod operations for Chow groups modulo a prime number p for a certain class of varieties. This class contains projective homogeneous varieties which are either split or considered over a field admitting some form of resolution of singularities, for example any field of characteristic not p . These reduced Steenrod operations are sufficient for some applications to the theory of quadratic forms.\",\"PeriodicalId\":50167,\"journal\":{\"name\":\"Journal of K-Theory\",\"volume\":\"9 1\",\"pages\":\"269-290\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-06-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1017/is011006030jkt162\",\"citationCount\":\"10\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of K-Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1017/is011006030jkt162\",\"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/is011006030jkt162","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Reduced Steenrod operations and resolution of singularities
We give a new construction of a weak form of Steenrod operations for Chow groups modulo a prime number p for a certain class of varieties. This class contains projective homogeneous varieties which are either split or considered over a field admitting some form of resolution of singularities, for example any field of characteristic not p . These reduced Steenrod operations are sufficient for some applications to the theory of quadratic forms.
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