{"title":"关于具有零核心性的光滑法诺三褶","authors":"Olzhas Zhakupov","doi":"arxiv-2409.02523","DOIUrl":null,"url":null,"abstract":"We provide examples of smooth three-dimensional Fano complete intersections\nof dergee 2, 4, 6, and 8 that have coregularity 0. Considering the main theorem\nof arXiv:2309.16784 on the remaining 101 families of smooth Fano threefolds,\nour result implies that each family of smooth Fano threefolds has an element of\ncoregularity zero.","PeriodicalId":501063,"journal":{"name":"arXiv - MATH - Algebraic Geometry","volume":"58 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On smooth Fano threefolds with coregularity zero\",\"authors\":\"Olzhas Zhakupov\",\"doi\":\"arxiv-2409.02523\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We provide examples of smooth three-dimensional Fano complete intersections\\nof dergee 2, 4, 6, and 8 that have coregularity 0. Considering the main theorem\\nof arXiv:2309.16784 on the remaining 101 families of smooth Fano threefolds,\\nour result implies that each family of smooth Fano threefolds has an element of\\ncoregularity zero.\",\"PeriodicalId\":501063,\"journal\":{\"name\":\"arXiv - MATH - Algebraic Geometry\",\"volume\":\"58 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-04\",\"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-2409.02523\",\"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-2409.02523","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We provide examples of smooth three-dimensional Fano complete intersections
of dergee 2, 4, 6, and 8 that have coregularity 0. Considering the main theorem
of arXiv:2309.16784 on the remaining 101 families of smooth Fano threefolds,
our result implies that each family of smooth Fano threefolds has an element of
coregularity zero.