On the normality of orbit closures which are hypersurfaces

Proceedings Mathematical Sciences

Nguyen Quang Loc¹ 

[1] Faculty of Mathematics and Computer Science, Hanoi National University of Education, Xuan Thuy Road, Hanoi, Vietnam$$

关键词: Quiver representation;    orbit closure;    hypersurface;    normality.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

Let 𝑁 be a quiver representation with non-zero admissible annihilator. In this paper, we prove the normality of the orbit closure $ar{mathcal{O}}_{N}$ when it is a hypersurface. The result thus gives new examples of normal orbit closures of quiver representations.

【 授权许可】

Unknown