{"title":"具有两个平滑吹胀结构的品种","authors":"Supravat Sarkar","doi":"arxiv-2409.10560","DOIUrl":null,"url":null,"abstract":"We classify smooth projective varieties of Picard rank 2 which has two\nstructures of blow-up of projective space along smooth subvarieties of\ndifferent dimensions. This gives a characterization of the so called\nquadro-cubic Cremona transformation.","PeriodicalId":501063,"journal":{"name":"arXiv - MATH - Algebraic Geometry","volume":"100 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Varieties with two smooth blow up structures\",\"authors\":\"Supravat Sarkar\",\"doi\":\"arxiv-2409.10560\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We classify smooth projective varieties of Picard rank 2 which has two\\nstructures of blow-up of projective space along smooth subvarieties of\\ndifferent dimensions. This gives a characterization of the so called\\nquadro-cubic Cremona transformation.\",\"PeriodicalId\":501063,\"journal\":{\"name\":\"arXiv - MATH - Algebraic Geometry\",\"volume\":\"100 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Algebraic Geometry\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.10560\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Algebraic Geometry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.10560","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We classify smooth projective varieties of Picard rank 2 which has two
structures of blow-up of projective space along smooth subvarieties of
different dimensions. This gives a characterization of the so called
quadro-cubic Cremona transformation.
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