Singular del Pezzo surfaces that are equivariant compactifications |
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| Authors: | U Derenthal D Loughran |
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| Institution: | 1.Mathematisches Institut,Albert-Ludwigs-Universit?t Freiburg,Freiburg,Germany;2.Department of Mathematics,University of Bristol,Bristol,UK |
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| Abstract: | We determine which singular del Pezzo surfaces are equivariant compactifications of
\mathbbG\texta2 \mathbb{G}_{\text{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
\mathbbG\texta {\mathbb{G}_{\text{a}}} ⋊
\mathbbG\textm {\mathbb{G}_{\text{m}}} . Bibliography: 32 titles. |
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