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arXiv · 1003.3528

GIT-equivalence and diagonal actions

Polina Yu. Kotenkova
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Abstract

We describe the GIT-equivalence classes of linearized ample line bundles for the diagonal actions of the linear algebraic groups $SL(V)$ and $SO(V)$ on ${\mathbb{P}(V)^{m_1}\times \mathbb{P}(V^*)^{m_2}}$ and $\mathbb{P}(V)^m$ respectively.

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Polina Yu. Kotenkova. 2010-03-18. GIT-equivalence and diagonal actions. https://arxiv.org/abs/1003.3528

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