{"title":"non-Kähler Calabi-Yau 3 - fold的例子任意大的b2","authors":"Kenji Hashimoto, Taro Sano","doi":"10.2140/gt.2023.27.131","DOIUrl":null,"url":null,"abstract":"We construct non-K\\\"{a}hler simply connected Calabi-Yau 3-folds with arbitrarily large 2nd Betti numbers by smoothing normal crossing varieties with trivial dualizing sheaves. \nWe also give an example of a family of K3 surfaces with involutions which do not lift biregularly over the total space.","PeriodicalId":254292,"journal":{"name":"Geometry & Topology","volume":"15 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":"{\"title\":\"Examples of non-Kähler Calabi–Yau 3–folds\\nwith arbitrarily large b2\",\"authors\":\"Kenji Hashimoto, Taro Sano\",\"doi\":\"10.2140/gt.2023.27.131\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We construct non-K\\\\\\\"{a}hler simply connected Calabi-Yau 3-folds with arbitrarily large 2nd Betti numbers by smoothing normal crossing varieties with trivial dualizing sheaves. \\nWe also give an example of a family of K3 surfaces with involutions which do not lift biregularly over the total space.\",\"PeriodicalId\":254292,\"journal\":{\"name\":\"Geometry & Topology\",\"volume\":\"15 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-02-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"8\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Geometry & Topology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2140/gt.2023.27.131\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Geometry & Topology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2140/gt.2023.27.131","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Examples of non-Kähler Calabi–Yau 3–folds
with arbitrarily large b2
We construct non-K\"{a}hler simply connected Calabi-Yau 3-folds with arbitrarily large 2nd Betti numbers by smoothing normal crossing varieties with trivial dualizing sheaves.
We also give an example of a family of K3 surfaces with involutions which do not lift biregularly over the total space.
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