 Semistable projective point in geometric invariant theory (source code)

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= Semistable projective point in geometric invariant theory
{title2=$\mathbb P(V)^{ss}$}

= GIT semistable point
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{synonym}

For the natural <linearization of a line bundle> of the action on lines in $V$, a point is semistable when some positive-degree homogeneous invariant on $V$ is nonzero on a representative. This condition is independent of the representative. The nonsemistable vectors form the <affine null cone>.

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