The number of algebraic cycles with bounded degree
Algebraic Geometry
2007-05-23 v1 Number Theory
Abstract
Let 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.
Keywords
Cite
@article{arxiv.math/0209287,
title = {The number of algebraic cycles with bounded degree},
author = {Atsushi Moriwaki},
journal= {arXiv preprint arXiv:math/0209287},
year = {2007}
}