Singular del Pezzo surfaces that are equivariant compactifications
Algebraic Geometry
2010-03-15 v2 Number Theory
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.
Keywords
Cite
@article{arxiv.0910.2717,
title = {Singular del Pezzo surfaces that are equivariant compactifications},
author = {Ulrich Derenthal and Daniel Loughran},
journal= {arXiv preprint arXiv:0910.2717},
year = {2010}
}
Comments
14 pages, main result extended to non-closed ground fields