The number of algebraic cycles with bounded degree
Moriwaki, Atsushi
J. Math. Kyoto Univ., Tome 44 (2004) no. 4, p. 819-890 / Harvested from Project Euclid
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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.
Publié le : 2004-05-15
Classification:  14G15,  11G25,  14C25,  14G10 
@article{1250281701,
     author = {Moriwaki, Atsushi},
     title = {The number of algebraic cycles with bounded degree},
     journal = {J. Math. Kyoto Univ.},
     volume = {44},
     number = {4},
     year = {2004},
     pages = { 819-890},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1250281701}
}

Moriwaki, Atsushi. The number of algebraic cycles with bounded degree. J. Math. Kyoto Univ., Tome 44 (2004) no. 4, pp.  819-890. http://gdmltest.u-ga.fr/item/1250281701/