发表机构
Leibniz Universität Hannover（汉诺威莱布尼茨大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文从凯勒与超凯勒商的角度研究超箭图概念，证明含单个超边的凯勒超箭图簇是同构于最大多重线性秩张量空间几何商的射影簇，对应超箭图加倍的超凯勒超箭图簇可等同于该簇上自反1-形式层对应的线性概型。
AI 中文摘要
我们从凯勒（Kähler）和超凯勒（hyperkähler）商的角度，讨论了Muller、Nanda和Seigal新近引入的超箭图概念。特别地，我们证明了对应于含单个超边的超箭图的凯勒超箭图簇$\boldsymbol{\textit{M}}$是一个射影簇，同构于具有最大多重线性秩的张量空间的几何商。此外，对应于该超箭图加倍的超凯勒超箭图簇，可被等同于$\boldsymbol{\textit{M}}$上自反1-形式层对应的线性概型。
英文摘要
We discuss the recently introduced concept of hyperquivers, due to Muller, Nanda, and Seigal, from the point of view of Kähler and hyperkähler quotients. In particular, we show that the Kähler hyperquiver variety ${\mathcal M}$, corresponding to a hyperquiver with a single hyperedge, is a projective variety isomorphic to the geometric quotient of the space of tensors with maximal multilinear rank. Moreover, the hyperkähler hyperquiver variety corresponding to doubling of this hyperquiver can be identified with the linear scheme corresponding to the sheaf of reflexive $1$-forms on ${\mathcal M}$.
Comments6 pages
