GIT-equivalence and diagonal actions

Details GIT-equivalence and diagonal actions GIT-equivalence and diagonal actions

2010-03-18

arxiv.org/abs/1003.3528v1

Math. Notes 90 (2011), no.1-2, 250-259

Mathematics

Algebraic Geometry

Scientific paper

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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