Geodesic
Smooth Nonprojective Equivariant Completions of Affine Space
Matematičeskie zametki, Tome 109 (2021) no. 6, pp. 929-937.

Voir la notice de l'article provenant de la source Math-Net.Ru

An open translation-equivariant embedding of the affine space $\mathbb A^n$ into a complete nonprojective algebraic variety $X$ is constructed for any $n\ge 3$. The main tool is the theory of toric varieties. In the case $n=3$, the orbit structure of the obtained action on the variety $X$ is described.
Keywords: nonprojective variety, toric variety, additive action, completion. 
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K. V. Shakhmatov. Smooth Nonprojective Equivariant Completions of Affine Space. Matematičeskie zametki, Tome 109 (2021) no. 6, pp. 929-937. http://geodesic.mathdoc.fr/item/MZM_2021_109_6_a11/

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