代数循环与Verra四重

IF 0.4 4区数学 Q4 MATHEMATICS Tohoku Mathematical Journal Pub Date : 2019-06-11 DOI:10.2748/tmj/1601085625

R. Laterveer

{"title":"代数循环与Verra四重","authors":"R. Laterveer","doi":"10.2748/tmj/1601085625","DOIUrl":null,"url":null,"abstract":"This note is about the Chow ring of Verra fourfolds. For a general Verra fourfold, we show that the Chow group of homologically trivial $1$-cycles is generated by conics. We also show that Verra fourfolds admit a multiplicative Chow-K\\\"unneth decomposition, and draw some consequences for the intersection product in the Chow ring of Verra fourfolds.","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2019-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"16","resultStr":"{\"title\":\"Algebraic cycles and Verra fourfolds\",\"authors\":\"R. Laterveer\",\"doi\":\"10.2748/tmj/1601085625\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This note is about the Chow ring of Verra fourfolds. For a general Verra fourfold, we show that the Chow group of homologically trivial $1$-cycles is generated by conics. We also show that Verra fourfolds admit a multiplicative Chow-K\\\\\\\"unneth decomposition, and draw some consequences for the intersection product in the Chow ring of Verra fourfolds.\",\"PeriodicalId\":54427,\"journal\":{\"name\":\"Tohoku Mathematical Journal\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2019-06-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"16\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Tohoku Mathematical Journal\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.2748/tmj/1601085625\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Tohoku Mathematical Journal","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.2748/tmj/1601085625","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 16

摘要

这个音符是关于维拉四重的Chow环。对于一般的Verra四重，我们证明了同调平凡$1$-循环的Chow群是由二次曲面生成的。我们还证明了Verra四重允许乘法Chow-K\“unneth分解，并得出了Verra四重的Chow环中交积的一些结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Algebraic cycles and Verra fourfolds

This note is about the Chow ring of Verra fourfolds. For a general Verra fourfold, we show that the Chow group of homologically trivial $1$-cycles is generated by conics. We also show that Verra fourfolds admit a multiplicative Chow-K\"unneth decomposition, and draw some consequences for the intersection product in the Chow ring of Verra fourfolds.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊