{"title":"具有同构a2柱面的仿射曲面","authors":"A. Dubouloz","doi":"10.1215/21562261-2018-0005","DOIUrl":null,"url":null,"abstract":"We show that all complements of cuspidal hyperplane sections of smooth projective cubic surfaces have isomorphic A(2)-cylinders. As a consequence, we derive that the A(2)-cancellation problem fails in every dimension greater than or equal to 2.","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2019-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"Affine surfaces with isomorphic A2-cylinders\",\"authors\":\"A. Dubouloz\",\"doi\":\"10.1215/21562261-2018-0005\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We show that all complements of cuspidal hyperplane sections of smooth projective cubic surfaces have isomorphic A(2)-cylinders. As a consequence, we derive that the A(2)-cancellation problem fails in every dimension greater than or equal to 2.\",\"PeriodicalId\":49149,\"journal\":{\"name\":\"Kyoto Journal of Mathematics\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2019-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Kyoto Journal of Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1215/21562261-2018-0005\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Kyoto Journal of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1215/21562261-2018-0005","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
We show that all complements of cuspidal hyperplane sections of smooth projective cubic surfaces have isomorphic A(2)-cylinders. As a consequence, we derive that the A(2)-cancellation problem fails in every dimension greater than or equal to 2.
期刊介绍：
The Kyoto Journal of Mathematics publishes original research papers at the forefront of pure mathematics, including surveys that contribute to advances in pure mathematics.
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