Equivariant Compactifications of Two-Dimensional Algebraic Groups

Ulrich Derenthal; Daniel Loughran

doi:10.1017/S001309151400042X

Equivariant Compactifications of Two-Dimensional Algebraic Groups

Ulrich Derenthal, Daniel Loughran

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

9 Citations (SciVal)

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 language	English
Pages (from-to)	149-168
Number of pages	20
Journal	Proceedings of the Edinburgh Mathematical Society
Volume	58
Issue number	1
DOIs	https://doi.org/10.1017/S001309151400042X
Publication status	Published - 1 Feb 2015

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10.1017/S001309151400042X

https://www.cambridge.org/core/product/identifier/S001309151400042X/type/journal_article

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Equivariant Compactifications of Two-Dimensional Algebraic Groups

Abstract

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