The number of algebraic cycles with bounded degree

Details The number of algebraic cycles with bounded degree The number of algebraic cycles with bounded degree

2002-09-22

arxiv.org/abs/math/0209287v1

Mathematics

Algebraic Geometry

Scientific paper

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.

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