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 sets
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/1447598
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