On the GIT stratification of prehomogeneous vector spaces III

On the GIT stratification of prehomogeneous vector spaces I

We determine the set which parametrizes the GIT stratification for four prehomogeneous vector spaces in this paper.

On the GIT stratification of prehomogeneous vector spaces II

We determine all orbits of two prehomogeneous vector spaces rationally over an arbitrary perfect field in this paper.

关于预齐次向量空间的 GIT 分层 IV

On the GIT stratification of prehomogenous vector spaces IV

本文研究预齐次向量空间 $G=\mathrm{GL}_8, V=\wedge^3\mathrm{Aff}^8$，并在特征不为 2 的任意完美域上有理刻画其全部轨道。