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The number of algebraic cycles with bounded degree

Atsushi Moriwaki
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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.

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Atsushi Moriwaki. 2002-09-22. The number of algebraic cycles with bounded degree. https://arxiv.org/abs/math/0209287

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