{"title":"The space of twisted cubics","authors":"K. Heinrich, R. Skjelnes, J. Stevens","doi":"10.46298/epiga.2021.volume5.5573","DOIUrl":null,"url":null,"abstract":"We consider the Cohen-Macaulay compactification of the space of twisted\ncubics in projective n-space. This compactification is the fine moduli scheme\nrepresenting the functor of CM-curves with Hilbert polynomial 3t+1. We show\nthat the moduli scheme of CM-curves in projective 3-space is isomorphic to the\ntwisted cubic component of the Hilbert scheme. We also describe the\ncompactification for twisted cubics in n-space.\n\n Comment: 22 pages. Final version","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46298/epiga.2021.volume5.5573","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
We consider the Cohen-Macaulay compactification of the space of twisted
cubics in projective n-space. This compactification is the fine moduli scheme
representing the functor of CM-curves with Hilbert polynomial 3t+1. We show
that the moduli scheme of CM-curves in projective 3-space is isomorphic to the
twisted cubic component of the Hilbert scheme. We also describe the
compactification for twisted cubics in n-space.
Comment: 22 pages. Final version
分享
京公网安备 11010802042870号
京ICP备2023020795号-1
求助内容：
应助结果提醒方式：
扫码关注我们
