Geodesic
Singular del Pezzo surfaces that are equivariant compactifications
Zapiski Nauchnykh Seminarov POMI, Studies in number theory. Part 10, Tome 377 (2010), pp. 26-43

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We determine which singular del Pezzo surfaces are equivariant compactifications of $\mathbb G_\mathrm a^2$, 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 $\mathbb G_\mathrm a\rtimes\mathbb G_\mathrm m$. Bibl. 32 titles. 
@article{ZNSL_2010_377_a5,
     author = {U. Derenthal and D. Loughran},
     title = {Singular del {Pezzo} surfaces that are equivariant compactifications},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {26--43},
     publisher = {mathdoc},
     volume = {377},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2010_377_a5/}
}
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U. Derenthal; D. Loughran. Singular del Pezzo surfaces that are equivariant compactifications. Zapiski Nauchnykh Seminarov POMI, Studies in number theory. Part 10, Tome 377 (2010), pp. 26-43. http://geodesic.mathdoc.fr/item/ZNSL_2010_377_a5/