Tomohiro Okuma , Kei-ichi Watanabe , Ken-ichi Yoshida
{"title":"椭圆理想正切锥的戈伦斯坦性","authors":"Tomohiro Okuma , Kei-ichi Watanabe , Ken-ichi Yoshida","doi":"10.1016/j.jpaa.2024.107791","DOIUrl":null,"url":null,"abstract":"<div><p>Let <em>A</em> be a two-dimensional excellent normal Gorenstein local domain. In this paper, we characterize elliptic ideals <span><math><mi>I</mi><mo>⊂</mo><mi>A</mi></math></span> for its normal tangent cone <span><math><mover><mrow><mi>G</mi></mrow><mo>‾</mo></mover><mo>(</mo><mi>I</mi><mo>)</mo></math></span> to be Gorenstein. Moreover, we classify all those ideals in a Gorenstein elliptic singularity in the characteristic zero case.</p></div>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Gorensteinness for normal tangent cones of elliptic ideals\",\"authors\":\"Tomohiro Okuma , Kei-ichi Watanabe , Ken-ichi Yoshida\",\"doi\":\"10.1016/j.jpaa.2024.107791\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Let <em>A</em> be a two-dimensional excellent normal Gorenstein local domain. In this paper, we characterize elliptic ideals <span><math><mi>I</mi><mo>⊂</mo><mi>A</mi></math></span> for its normal tangent cone <span><math><mover><mrow><mi>G</mi></mrow><mo>‾</mo></mover><mo>(</mo><mi>I</mi><mo>)</mo></math></span> to be Gorenstein. Moreover, we classify all those ideals in a Gorenstein elliptic singularity in the characteristic zero case.</p></div>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-08-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0022404924001889\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022404924001889","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Gorensteinness for normal tangent cones of elliptic ideals
Let A be a two-dimensional excellent normal Gorenstein local domain. In this paper, we characterize elliptic ideals for its normal tangent cone to be Gorenstein. Moreover, we classify all those ideals in a Gorenstein elliptic singularity in the characteristic zero case.