Equivariant compactifications of vector groups with high index

Abstract

In this note, we classify smooth equivariant compactifications of ${\mathbb{G}}_a^n$ which are Fano manifolds with index $\ge n-2$.

arXiv comment10 pages. v2: presentation improved

References in corpus (5)

• Existence of good divisors on Mukai varieties
• Some structure theorems for algebraic groups
• Additive actions on toric varieties
• Fano threefolds as equivariant compactifications of the vector group
• Euler-symmetric projective varieties