{"title":"Cohen-Macaulay变种的对数微分形式","authors":"A. Aleksandrov","doi":"10.4310/MAA.2017.V24.N1.A2","DOIUrl":null,"url":null,"abstract":". The purpose of the paper is to introduce a notion of logarithmic differential forms on singular varieties. We also compute the Poincar´e series and generators of the corresponding modules in a few particular cases, including quasihomogeneous complete intersections, normal varieties, determinantal varieties, and others.","PeriodicalId":18467,"journal":{"name":"Methods and applications of analysis","volume":"24 1","pages":"11-32"},"PeriodicalIF":0.6000,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Logarithmic differential forms on Cohen–Macaulay varieties\",\"authors\":\"A. Aleksandrov\",\"doi\":\"10.4310/MAA.2017.V24.N1.A2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". The purpose of the paper is to introduce a notion of logarithmic differential forms on singular varieties. We also compute the Poincar´e series and generators of the corresponding modules in a few particular cases, including quasihomogeneous complete intersections, normal varieties, determinantal varieties, and others.\",\"PeriodicalId\":18467,\"journal\":{\"name\":\"Methods and applications of analysis\",\"volume\":\"24 1\",\"pages\":\"11-32\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2017-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Methods and applications of analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4310/MAA.2017.V24.N1.A2\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Methods and applications of analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4310/MAA.2017.V24.N1.A2","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
Logarithmic differential forms on Cohen–Macaulay varieties
. The purpose of the paper is to introduce a notion of logarithmic differential forms on singular varieties. We also compute the Poincar´e series and generators of the corresponding modules in a few particular cases, including quasihomogeneous complete intersections, normal varieties, determinantal varieties, and others.