arXiv:0910.2717 Abstract | arXiv Analytics

arXiv:0910.2717 [math.AG]Abstract References Reviews Resources

Singular del Pezzo surfaces that are equivariant compactifications

Published 2009-10-14, updated 2010-03-12Version 2

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.

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

Categories: math.AG, math.NT

Subjects: 14L30, 14J26, 11D45

Keywords: singular del pezzo surfaces, equivariant compactification, singular quartic del pezzo surface, semidirect product, manins conjecture

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