{"title":"仿射子空间集中条件","authors":"Kuang-Yu Wu","doi":"10.46298/epiga.2023.9382","DOIUrl":null,"url":null,"abstract":"We define a new notion of affine subspace concentration conditions for\nlattice polytopes, and prove that they hold for smooth and reflexive polytopes\nwith barycenter at the origin. Our proof involves considering the slope\nstability of the canonical extension of the tangent bundle by the trivial line\nbundle and with the extension class $c_1(\\mathcal{T}_X)$ on Fano toric\nvarieties.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Affine Subspace Concentration Conditions\",\"authors\":\"Kuang-Yu Wu\",\"doi\":\"10.46298/epiga.2023.9382\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We define a new notion of affine subspace concentration conditions for\\nlattice polytopes, and prove that they hold for smooth and reflexive polytopes\\nwith barycenter at the origin. Our proof involves considering the slope\\nstability of the canonical extension of the tangent bundle by the trivial line\\nbundle and with the extension class $c_1(\\\\mathcal{T}_X)$ on Fano toric\\nvarieties.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2022-01-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.46298/epiga.2023.9382\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46298/epiga.2023.9382","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We define a new notion of affine subspace concentration conditions for
lattice polytopes, and prove that they hold for smooth and reflexive polytopes
with barycenter at the origin. Our proof involves considering the slope
stability of the canonical extension of the tangent bundle by the trivial line
bundle and with the extension class $c_1(\mathcal{T}_X)$ on Fano toric
varieties.
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