Equivariant compactifications of two-dimensional algebraic groups
Algebraic Geometry
2013-05-13 v2 Number Theory
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.
Cite
@article{arxiv.1212.3518,
title = {Equivariant compactifications of two-dimensional algebraic groups},
author = {Ulrich Derenthal and Daniel Loughran},
journal= {arXiv preprint arXiv:1212.3518},
year = {2013}
}
Comments
19 pages, 1 figure