Two orbits: When is one in the closure of the other?

Details Two orbits: When is one in the closure of the other? Two orbits: When is one in the closure of the other?

2008-08-20

arxiv.org/abs/0808.2735v7

Proc. Steklov Math. Inst., Vol. 264 (2009), 146--158

Mathematics

Algebraic Geometry

15 pages. Example 1.15 and Remark 1.16 are added. Several minor typos are fixed

Scientific paper

Let $G$ be a connected linear algebraic group, let $V$ be a finite
dimensional algebraic $G$-module, and let $\mathcal O_1$, $\mathcal O_2$ be two
$G$-orbits in $V$. We describe a constructive way to find out whether $\mathcal
O_1$ lies in the closure of $\mathcal O_2$ or not.

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