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arXiv · 2005.03277

Smooth non-projective equivariant completions of affine spaces

Kirill Shakhmatov
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Abstract

In this paper we construct an equivariant embedding of the affine space $\mathbb{A}^n$ with the translation group action into a complete non-projective algebraic variety $X$ for all $n \geq 3$. The theory of toric varieties is used as the main tool for this construction. In the case of $n = 3$ we describe the orbit structure on the variety $X$.

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Kirill Shakhmatov. 2020-05-07. Smooth non-projective equivariant completions of affine spaces. https://doi.org/10.1134/s0001434621050291

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