This paper is a work in progress on Bloch's conjecture asserting the vanishing of the Pontryagin product of a $ p $ codimensional cycle on an abelian variety by $ p+1 $ zero cycles of degree zero. We prove an infinitesimal version of the conjecture and we discuss, in particular, the case of $ 3 $ dimensional cycles.
Marini, G. (2021). An infinitesimal approach to the study of cycles on abelian varieties. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 23(4) [10.1142/S0219199720500418].
An infinitesimal approach to the study of cycles on abelian varieties
Marini Giambattista
2021-01-01
Abstract
This paper is a work in progress on Bloch's conjecture asserting the vanishing of the Pontryagin product of a $ p $ codimensional cycle on an abelian variety by $ p+1 $ zero cycles of degree zero. We prove an infinitesimal version of the conjecture and we discuss, in particular, the case of $ 3 $ dimensional cycles.File in questo prodotto:
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