Publications at the Riemann Center

Equivariant Compactifications of Two-Dimensional Algebraic Groups

authored by
Ulrich Derenthal, Daniel Loughran
Abstract

We classify generically transitive actions of semi-direct products Ga ⋊ Gm 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 Ga ⋊ Gm.

Organisation(s)
Institut für Algebra, Zahlentheorie und Diskrete Mathematik
Riemann Center for Geometry and Physics
Type
Artikel
Journal
Proceedings of the Edinburgh Mathematical Society
Volume
58
Pages
149-168
No. of pages
20
ISSN
0013-0915
Publication date
02.2015
Publication status
Veröffentlicht
Peer reviewed
Yes
ASJC Scopus Sachgebiete
Mathematik (insg.)
Electronic version(s)
https://doi.org/10.1017/S001309151400042X (Access: Unbekannt)