{"title":"非一致平坦仿射代数超曲面的勘误表","authors":"A. Mandal, Vamsi Pingali, Dror Varolin","doi":"10.1017/nmj.2023.13","DOIUrl":null,"url":null,"abstract":"\n\t <jats:p>In this erratum, we correct an erroneous result in [PV2] and prove that the affine algebraic hypersurfaces <jats:inline-formula>\n\t <jats:alternatives>\n\t\t<jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0027763023000132_inline1.png\" />\n\t\t<jats:tex-math>\n$xy^2=1$\n</jats:tex-math>\n\t </jats:alternatives>\n\t </jats:inline-formula> and <jats:inline-formula>\n\t <jats:alternatives>\n\t\t<jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0027763023000132_inline2.png\" />\n\t\t<jats:tex-math>\n$z=xy^2$\n</jats:tex-math>\n\t </jats:alternatives>\n\t </jats:inline-formula> are not interpolating with respect to the Gaussian weight.</jats:p>","PeriodicalId":49785,"journal":{"name":"Nagoya Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.8000,"publicationDate":"2023-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"ERRATUM TO “NON-UNIFORMLY FLAT AFFINE ALGEBRAIC HYPERSURFACES”\",\"authors\":\"A. Mandal, Vamsi Pingali, Dror Varolin\",\"doi\":\"10.1017/nmj.2023.13\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"\\n\\t <jats:p>In this erratum, we correct an erroneous result in [PV2] and prove that the affine algebraic hypersurfaces <jats:inline-formula>\\n\\t <jats:alternatives>\\n\\t\\t<jats:inline-graphic xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\" mime-subtype=\\\"png\\\" xlink:href=\\\"S0027763023000132_inline1.png\\\" />\\n\\t\\t<jats:tex-math>\\n$xy^2=1$\\n</jats:tex-math>\\n\\t </jats:alternatives>\\n\\t </jats:inline-formula> and <jats:inline-formula>\\n\\t <jats:alternatives>\\n\\t\\t<jats:inline-graphic xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\" mime-subtype=\\\"png\\\" xlink:href=\\\"S0027763023000132_inline2.png\\\" />\\n\\t\\t<jats:tex-math>\\n$z=xy^2$\\n</jats:tex-math>\\n\\t </jats:alternatives>\\n\\t </jats:inline-formula> are not interpolating with respect to the Gaussian weight.</jats:p>\",\"PeriodicalId\":49785,\"journal\":{\"name\":\"Nagoya Mathematical Journal\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2023-06-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Nagoya Mathematical Journal\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1017/nmj.2023.13\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nagoya Mathematical Journal","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1017/nmj.2023.13","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
ERRATUM TO “NON-UNIFORMLY FLAT AFFINE ALGEBRAIC HYPERSURFACES”
In this erratum, we correct an erroneous result in [PV2] and prove that the affine algebraic hypersurfaces
$xy^2=1$
and
$z=xy^2$
are not interpolating with respect to the Gaussian weight.
期刊介绍:
The Nagoya Mathematical Journal is published quarterly. Since its formation in 1950 by a group led by Tadashi Nakayama, the journal has endeavoured to publish original research papers of the highest quality and of general interest, covering a broad range of pure mathematics. The journal is owned by Foundation Nagoya Mathematical Journal, which uses the proceeds from the journal to support mathematics worldwide.