paper

Singular del Pezzo surfaces that are equivariant compactifications

arXiv:0910.2717

Abstract

We determine which singular del Pezzo surfaces are equivariant compactifications of G_a^2, to assist with proofs of Manin's conjecture for such surfaces. Additionally, we give an example of a singular quartic del Pezzo surface that is an equivariant compactification of a semidirect product of G_a and G_m.

14 pages, main result extended to non-closed ground fields