{"title":"局部上同调、Du-Bois复形和局部上同维上的Hodge滤波","authors":"M. Mustaţă, M. Popa","doi":"10.1017/fmp.2022.15","DOIUrl":null,"url":null,"abstract":"Abstract We study the Hodge filtration on the local cohomology sheaves of a smooth complex algebraic variety along a closed subscheme Z in terms of log resolutions and derive applications regarding the local cohomological dimension, the Du Bois complex, local vanishing and reflexive differentials associated to Z.","PeriodicalId":56024,"journal":{"name":"Forum of Mathematics Pi","volume":"10 1","pages":""},"PeriodicalIF":2.8000,"publicationDate":"2021-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"14","resultStr":"{\"title\":\"Hodge filtration on local cohomology, Du Bois complex and local cohomological dimension\",\"authors\":\"M. Mustaţă, M. Popa\",\"doi\":\"10.1017/fmp.2022.15\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract We study the Hodge filtration on the local cohomology sheaves of a smooth complex algebraic variety along a closed subscheme Z in terms of log resolutions and derive applications regarding the local cohomological dimension, the Du Bois complex, local vanishing and reflexive differentials associated to Z.\",\"PeriodicalId\":56024,\"journal\":{\"name\":\"Forum of Mathematics Pi\",\"volume\":\"10 1\",\"pages\":\"\"},\"PeriodicalIF\":2.8000,\"publicationDate\":\"2021-08-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"14\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Forum of Mathematics Pi\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1017/fmp.2022.15\",\"RegionNum\":1,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Forum of Mathematics Pi","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1017/fmp.2022.15","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
Hodge filtration on local cohomology, Du Bois complex and local cohomological dimension
Abstract We study the Hodge filtration on the local cohomology sheaves of a smooth complex algebraic variety along a closed subscheme Z in terms of log resolutions and derive applications regarding the local cohomological dimension, the Du Bois complex, local vanishing and reflexive differentials associated to Z.
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