An infinitesimal approach to the study of Cycles on Abelian Varieties

Giambattista Marini

An infinitesimal approach to the study of Cycles on Abelian Varieties

Algebraic Geometry 2018-07-30 v1

Authors: Giambattista Marini

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.

Keywords

bloch conjecture abelian varieties algebraic cycles pontryagin product infinitesimal method

Cite

@article{arxiv.1807.10582,
  title  = {An infinitesimal approach to the study of Cycles on Abelian Varieties},
  author = {Giambattista Marini},
  journal= {arXiv preprint arXiv:1807.10582},
  year   = {2018}
}

Comments

12 pages

Related papers

View all related →