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Points of bounded height on equivariant compactifications of vector groups. II - MaRDI portal

Points of bounded height on equivariant compactifications of vector groups. II (Q5928003)

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scientific article; zbMATH DE number 1579175
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Points of bounded height on equivariant compactifications of vector groups. II
scientific article; zbMATH DE number 1579175

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    Points of bounded height on equivariant compactifications of vector groups. II (English)
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    19 March 2001
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    As in Part I (see the review Zbl 0963.11033 above), the authors verify Manin's conjecture for points of bounded height on certain equivariant compactifications of the \(n\)-th direct power of the additive group \({\mathbb G}_a\). Here they treat the case of projective space \({\mathbb P}^n_{\mathbb Q}\) \((n\geq 3)\) blown up in a smooth nonlinear codimension 2 subvariety contained in a hyperplane, by a similar method as in Part I.
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    height zeta function
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    rational points
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    equivariant compactification
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    Fourier analysis
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    Manin's conjecture
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