Fano threefolds as equivariant compactifications of the vector group

Abstract

In this article, we determine all equivariant compactifications of the three-dimensional vector group ${\mathbf{G}}_a^3$ which are smooth Fano threefolds with Picard number greater or equal than two.

arXiv comment39 pages. v2: References updated, minor corrections, appendix shortened

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Cited by in corpus (6)

• Campana points of bounded height on vector group compactifications
• On moment map and bigness of tangent bundles of $G$-varieties
• Integral points of bounded height on a log Fano threefold
• Equivariant compactifications of vector groups with high index
• ${\mathbb{G}}_a^3$-structures on del Pezzo fibrations
• Equivariant completions of affine spaces