Benjamin Bakker, Thomas W. Grimm, C. Schnell, Jacob Tsimerman
{"title":"Hodge结构积分变分中自对偶类的有限性","authors":"Benjamin Bakker, Thomas W. Grimm, C. Schnell, Jacob Tsimerman","doi":"10.46298/epiga.2023.specialvolumeinhonourofclairevoisin.9626","DOIUrl":null,"url":null,"abstract":"We generalize the finiteness theorem for the locus of Hodge classes with\nfixed self-intersection number, due to Cattani, Deligne, and Kaplan, from Hodge\nclasses to self-dual classes. The proof uses the definability of period\nmappings in the o-minimal structure $\\mathbb{R}_{\\mathrm{an},\\exp}$.","PeriodicalId":41470,"journal":{"name":"Epijournal de Geometrie Algebrique","volume":"1 1","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2021-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"10","resultStr":"{\"title\":\"Finiteness for self-dual classes in integral variations of Hodge structure\",\"authors\":\"Benjamin Bakker, Thomas W. Grimm, C. Schnell, Jacob Tsimerman\",\"doi\":\"10.46298/epiga.2023.specialvolumeinhonourofclairevoisin.9626\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We generalize the finiteness theorem for the locus of Hodge classes with\\nfixed self-intersection number, due to Cattani, Deligne, and Kaplan, from Hodge\\nclasses to self-dual classes. The proof uses the definability of period\\nmappings in the o-minimal structure $\\\\mathbb{R}_{\\\\mathrm{an},\\\\exp}$.\",\"PeriodicalId\":41470,\"journal\":{\"name\":\"Epijournal de Geometrie Algebrique\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2021-12-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"10\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Epijournal de Geometrie Algebrique\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.46298/epiga.2023.specialvolumeinhonourofclairevoisin.9626\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Epijournal de Geometrie Algebrique","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46298/epiga.2023.specialvolumeinhonourofclairevoisin.9626","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 10
摘要
我们将Cattani, Deligne, and Kaplan的自交数固定的Hodge类轨迹的有限性定理从Hodge类推广到自对偶类。该证明使用了0最小结构$\mathbb{R}_{\ mathm {an}，\exp}$中周期标记的可定义性。
Finiteness for self-dual classes in integral variations of Hodge structure
We generalize the finiteness theorem for the locus of Hodge classes with
fixed self-intersection number, due to Cattani, Deligne, and Kaplan, from Hodge
classes to self-dual classes. The proof uses the definability of period
mappings in the o-minimal structure $\mathbb{R}_{\mathrm{an},\exp}$.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
