On the GIT stratification of prehomogenous vector spaces IV

Kazuaki Tajima; Akihiko Yukie

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arXiv · 2509.21815

On the GIT stratification of prehomogenous vector spaces IV

Kazuaki Tajima·Akihiko Yukie

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Abstract

We determine all orbits of the prehomogeneous vector space $G = \mathrm{GL}_8,V =\wedge^3\mathrm{Aff}^8$ rationally over an arbitrary perfect field of characteristic not equal to $2$ in this paper.

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Kazuaki Tajima, Akihiko Yukie. 2025-09-26. On the GIT stratification of prehomogenous vector spaces IV. https://arxiv.org/abs/2509.21815

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