# GIT-equivalence and diagonal actions - Mathematics > Algebraic Geometry

Abstract: We describe the GIT-equivalence classes of linearized ample line bundles forthe diagonal actions of the linear algebraic groups $SLV$ and $SOV$ on${\mathbb{P}V^{m 1}\times \mathbb{P}V^*^{m 2}}$ and $\mathbb{P}V^m$respectively.

Author: Polina Yu. Kotenkova

Source: https://arxiv.org/