Equivariant compactifications of two-dimensional algebraic groups

Authors :: Daniel Loughran
Ulrich Derenthal
Source :: Proceedings of the Edinburgh Mathematical Society 58 (2014), Nr. 1, Derenthal, U & Loughran, D 2014, ' Equivariant Compactifications of Two-Dimensional Algebraic Groups ', Proceedings of the Edinburgh Mathematical Society, vol. 58, no. 1, pp. 149-168 . https://doi.org/10.1017/S001309151400042X
Publication Year :: 2012
Publisher :: arXiv, 2012.
Abstract: We classify generically transitive actions of semidirect products of an additive and a multiplicative group on the projective plane. 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 such semidirect products.<br />Comment: 19 pages, 1 figure

Database :: OpenAIRE
Journal :: Proceedings of the Edinburgh Mathematical Society 58 (2014), Nr. 1, Derenthal, U & Loughran, D 2014, ' Equivariant Compactifications of Two-Dimensional Algebraic Groups ', Proceedings of the Edinburgh Mathematical Society, vol. 58, no. 1, pp. 149-168 . https://doi.org/10.1017/S001309151400042X
Accession number :: edsair.doi.dedup.....c99f0255725bc624b8999d267ab7378a
Full Text :: https://doi.org/10.48550/arxiv.1212.3518