{"title":"VGIT Presentation of the Second Flip of M ¯ 2 , 1","authors":"M. Fedorchuk, M. Grimes","doi":"10.1307/MMJ/1596700815","DOIUrl":null,"url":null,"abstract":"We perform a variation of geometric invariant theory stability analysis for 2nd Hilbert points of bi-log-canonically embedded pointed curves of genus 2 . As a result, we give a GIT construction of the log canonical models M ¯ 2 , 1 ( α ) for α = 2 / 3 ± ϵ and obtain a VGIT presentation of the second flip in the Hassett–Keel program for the moduli space of pointed genus 2 curves.","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":"5 10 1","pages":"487-514"},"PeriodicalIF":0.8000,"publicationDate":"2020-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Michigan Mathematical Journal","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1307/MMJ/1596700815","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 1
Abstract
We perform a variation of geometric invariant theory stability analysis for 2nd Hilbert points of bi-log-canonically embedded pointed curves of genus 2 . As a result, we give a GIT construction of the log canonical models M ¯ 2 , 1 ( α ) for α = 2 / 3 ± ϵ and obtain a VGIT presentation of the second flip in the Hassett–Keel program for the moduli space of pointed genus 2 curves.
期刊介绍：
The Michigan Mathematical Journal is available electronically through the Project Euclid web site. The electronic version is available free to all paid subscribers. The Journal must receive from institutional subscribers a list of Internet Protocol Addresses in order for members of their institutions to have access to the online version of the Journal.
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