Equivariant Compactifications of Two-Dimensional Algebraic Groups

DOI10.1017/S001309151400042XzbMath1368.14059arXiv1212.3518OpenAlexW2964337456MaRDI QIDQ5173084

Ulrich Derenthal, Daniel Loughran

Publication date: 6 February 2015

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.3518

zbMATH Keywords

algebraic groupsdel Pezzo surfacesequivariant compactificationsManin's conjectures

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Group actions on varieties or schemes (quotients) (14L30) Counting solutions of Diophantine equations (11D45)

Related Items (4)

Quadratic congruences on average and rational points on cubic surfaces ⋮ Additive Actions on Projective Hypersurfaces ⋮ Fano threefolds as equivariant compactifications of the vector group ⋮ The split torsor method for Manin’s conjecture

Cites Work

• Singular del Pezzo surfaces that are equivariant compactifications
• Quantitative arithmetic of projective varieties
• On the number of rational points of bounded height on algebraic varieties
• On the distribution of points of bounded height on equivariant compactifications of vector groups.
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Première partie). Rédigé avec la colloboration de J. Dieudonné
• Height zeta functions of equivariant compactifications of semi-direct products of algebraic groups
• Automorphism groups on normal singular cubic surfaces with no parameters
• Singular del Pezzo surfaces whose universal torsors are hypersurfaces
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