PGL orbits in tree varieties

I Coskun, D Eken, C Yun - arXiv preprint arXiv:2307.09265, 2023 - arxiv.org
In this paper, we introduce tree varieties as a natural generalization of products of partial flag
varieties. We study orbits of the PGL action on tree varieties. We characterize tree varieties …

$\PGL $ orbits on products of flag varieties

I Coskun, A Gündüz - arXiv preprint arXiv:2412.04870, 2024 - arxiv.org
In this paper, we study the existence of a dense orbit for the diagonal $\PGL (n) $ action on
self-products of partial flag varieties. We determine when there exists a dense orbit for flag …

On the Geometry of the Flag Varieties of Orthogonal group and Symplectic group.

F Abu-Shoga - IUG Journal for Natural Studies, 2023 - search.ebscohost.com
The aim of this paper is to discuss an important discourse, as most literatures highlighted the
dimension of partial flag in a certain manner, according to a fixed definition that does not …