Integral points of bounded height on partial equivariant compactifications of vector groups. (English) Zbl 1348.11055

Chambert-Loir, Antoine; Tschinkel, Yuri

Duke Math. J. 161, No. 15, 2799-2836 (2012).

Summary: We establish asymptotic formulas for the number of integral points of bounded height on partial equivariant compactifications of vector groups.

MSC:

11G50	Heights
11G25	Varieties over finite and local fields
14G05	Rational points
14G25	Global ground fields in algebraic geometry

Keywords:

equivariant compactifications; vector groups; smooth projective equivariant compactification; Euler products; Igusa-type integrals

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