We study the subsets () abelian variety A consisting in the collection of points ∈ such that the zero-cycle {}−{0} is k-nilpotent with respect to the Pontryagin product in the Chow group. These sets were introduced recently by Voisin in the moduli space of abelian varieties of dimension g with a fixed polarization, where 2() is positive dimensional. We estimate the dimension of Voisin sets
On the dimension of Voisin sets in the moduli space of abelian varieties
Pirola, G. P.
2021-01-01
Abstract
We study the subsets () abelian variety A consisting in the collection of points ∈ such that the zero-cycle {}−{0} is k-nilpotent with respect to the Pontryagin product in the Chow group. These sets were introduced recently by Voisin in the moduli space of abelian varieties of dimension g with a fixed polarization, where 2() is positive dimensional. We estimate the dimension of Voisin setsFile in questo prodotto:
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