Height zeta functions on generalized projective toric varieties.

Driss Essouabri (1)

1 CTN - Combinatoire, théorie des nombres

In this paper we study the analytic properties of height zeta functions associated to generalized projective toric varieties. As an application, we obtain asymptotic expansions of the counting functions of rational points of generalized projective toric varieties provided with a large class of heights.

Mots clés: Manin's conjecture; heights; rational points; zeta functions; meromorphic continuation; Newton polyhedron.; Newton polyhedron

Domaines: Théorie des nombres [math.NT]

Driss Essouabri. Height zeta functions on generalized projective toric varieties.. Contemporary mathematics, 2012, 566, pp.P. 65-98. ⟨hal-00947520⟩