Equivariant Compactifications of Two-Dimensional Algebraic Groups

Ulrich Derenthal, Daniel Loughran

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

We classify generically transitive actions of semi-direct products on ℙ2. Motivated by the program to study the distribution of rational points on del Pezzo surfaces (Manin's conjecture), we determine all (possibly singular) del Pezzo surfaces that are equivariant compactifications of homogeneous spaces for semi-direct products.

Original languageEnglish
Pages (from-to)149-168
Number of pages20
JournalProceedings of the Edinburgh Mathematical Society
Volume58
Issue number1
DOIs
Publication statusPublished - 1 Feb 2015

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