English

On the GIT stratification of prehomogenous vector spaces IV

Number Theory 2025-09-30 v2

Abstract

We determine all orbits of the prehomogeneous vector space G=GL8,V=3Aff8G = \mathrm{GL}_8,V =\wedge^3\mathrm{Aff}^8 rationally over an arbitrary perfect field of characteristic not equal to 22 in this paper.

Keywords

Cite

@article{arxiv.2509.21815,
  title  = {On the GIT stratification of prehomogenous vector spaces IV},
  author = {Kazuaki Tajima and Akihiko Yukie},
  journal= {arXiv preprint arXiv:2509.21815},
  year   = {2025}
}
R2 v1 2026-07-01T05:57:43.875Z