M¯2,1的二次翻转的VGIT表示

IF 0.8 3区数学 Q2 MATHEMATICS

Michigan Mathematical Journal Pub Date : 2020-08-01 DOI:10.1307/MMJ/1596700815

M. Fedorchuk, M. Grimes

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引用次数: 1

摘要

对2属双对数正则嵌入点曲线的二阶希尔伯特点进行了几何不变理论稳定性分析。结果，我们给出了对数正则模型M¯2,1 (α)对于α = 2 / 3±λ的GIT构造，并得到了尖格2曲线模空间的hasset - keel程序中第二次翻转的VGIT表示。

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VGIT Presentation of the Second Flip of M ¯ 2 , 1

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.

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来源期刊

Michigan Mathematical Journal 数学-数学

CiteScore

1.20

自引率

11.10%

发文量

审稿时长

>12 weeks

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.