Height Zeta Functions of Equivariant Compactifications of Unipotent Groups
نویسندگان
چکیده
منابع مشابه
Height Zeta Functions of Equivariant Compactifications of Unipotent Groups
We prove Manin’s conjecture for bi-equivariant compactifications of unipotent groups.
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We apply the theory of height zeta functions to study the asymptotic distribution of rational points of bounded height on projective equivariant compactifications of semi-direct products. Introduction Let X be a smooth projective variety over a number field F and L a very ample line bundle on X. An adelic metrization L = (L, ‖ · ‖) on L induces a height function HL : X(F )→ R>0, let N(X◦,L,B) :...
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Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 § 1. Geometry, heights . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 § 2. The local Fourier transform at the trivial character . . . . . . 5 § 3. The local Fourier transform at a non-trivial character . . 9 § 4. The height zeta function . . . . . . . . ....
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ژورنال
عنوان ژورنال: Communications on Pure and Applied Mathematics
سال: 2015
ISSN: 0010-3640
DOI: 10.1002/cpa.21572