Invariant theory of ∧3(9) and genus-2 curves
Invariant theory of ∧3(9) and genus-2
curves
复制标题
∧3(9) 和 genus-2 的不变理论
DOI：
10.2140/ant.2018.12.935
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发表时间：
2017
影响因子：
1.3
通讯作者：
Steven V. Sam
中科院分区：
文献类型：
--
作者：
E. Rains;Steven V. Sam
以往的工作通过一些附加数据建立了9维复向量空间的外三次幂几何不变理论与2类曲线模空间的联系。我们将这种联系推广到任意字段，并描述在这个故事的两边之间获得双射所需的算术数据。
Previous work established a connection between the geometric invariant theory of the third exterior power of a 9-dimensional complex vector space and the moduli space of genus-2 curves with some additional data. We generalize this connection to arbitrary fields, and describe the arithmetic data needed to get a bijection between both sides of this story.