Height Zeta Functions of Equivariant Compactifications of Unipotent Groups
نویسنده
چکیده
We prove Manin’s conjecture for bi-equivariant compactifications of unipotent groups.
منابع مشابه
Height Zeta Functions of Equivariant Compactifications of the Heisenberg Group
— We study analytic properties of height zeta functions of equivariant compactifications of the Heisenberg group.
متن کاملA pr 1 99 9 POINTS OF BOUNDED HEIGHT ON EQUIVARIANT COMPACTIFICATIONS OF VECTOR GROUPS
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 . . . . . . . . ....
متن کاملHeight zeta functions of equivariant compactifications of semi-direct products of algebraic groups
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) :...
متن کامل5 F eb 1 99 9 POINTS OF BOUNDED HEIGHT ON EQUIVARIANT COMPACTIFICATIONS OF VECTOR GROUPS , I by Antoine Chambert - Loir & Yuri Tschinkel
— We prove asymptotic formulas for the number of rational points of bounded height on certain equivariant compactifications of the affine plane. Résumé. — Nous établissons un développement asymptotique du nombre de points rationnels de hauteur bornée sur certaines compactifications équivariantes du plan affine.
متن کاملIntegral Points of Bounded Height on Compactifications of Semi-simple Groups
We study the asymptotic distribution of integral points of bounded height on partial bi-equivariant compactifications of semisimple groups of adjoint type.
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تاریخ انتشار 2014