Smooth non-projective equivariant completions of affine spaces

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 $n\ge 3$. 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 $X$.

8 pages, 1 figure

References in corpus (1)

• Additive actions on toric varieties

Cited by in corpus (1)

• Equivariant completions of affine spaces