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arXiv · 1807.10582

An infinitesimal approach to the study of Cycles on Abelian Varieties

Giambattista Marini
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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.

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Giambattista Marini. 2018-07-27. An infinitesimal approach to the study of Cycles on Abelian Varieties. https://arxiv.org/abs/1807.10582

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