Singular del Pezzo surfaces that are equivariant compactifications

Details Singular del Pezzo surfaces that are equivariant compactifications Singular del Pezzo surfaces that are equivariant compactifications

2009-10-14

arxiv.org/abs/0910.2717v2

Mathematics

Algebraic Geometry

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

Scientific paper

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.

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