Geodesic
Two Orbits: When Is One in the Closure of the Other?
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Multidimensional algebraic geometry, Tome 264 (2009), pp. 152-164

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Let $G$ be a connected linear algebraic group, let $V$ be a finite dimensional algebraic $G$-module, and let $\mathcal O_1$ and $\mathcal O_2$ be two $G$-orbits in $V$. We describe a constructive way to find out whether or not $\mathcal O_1$ lies in the closure of $\mathcal O_2$. 
@article{TM_2009_264_a16,
     author = {V. L. Popov},
     title = {Two {Orbits:} {When} {Is} {One} in the {Closure} of the {Other?}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {152--164},
     publisher = {mathdoc},
     volume = {264},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2009_264_a16/}
}
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V. L. Popov. Two Orbits: When Is One in the Closure of the Other?. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Multidimensional algebraic geometry, Tome 264 (2009), pp. 152-164. http://geodesic.mathdoc.fr/item/TM_2009_264_a16/