2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65031Let X be a projective scheme over a finite field. In this paper, we consider the asymptotic behavior of the number of effective cycles on X with bounded degree as it goes to the infinity. By this estimate, we can define a certain kind of zeta functions associated with groups of cycles. We also consider an analogue in Arakelov geometry.Algebraic GeometryNumber Theorytext