Beauville-Voisin conjecture for generalized Kummer varieties
Algebraic Geometry
2014-04-09 v3
Abstract
Inspired by their results on the Chow rings of projective K3 surfaces, Beauville and Voisin made the following conjecture: given a projective hyperkaehler manifold, for any algebraic cycle which is a polynomial with rational coefficients of Chern classes of the tangent bundle and line bundles, it is rationally equivalent to zero if and only if it is numerically equivalent to zero. In this paper, we prove the Beauville-Voisin conjecture for generalized Kummer varieties.
Keywords
Cite
@article{arxiv.1309.4977,
title = {Beauville-Voisin conjecture for generalized Kummer varieties},
author = {Lie Fu},
journal= {arXiv preprint arXiv:1309.4977},
year = {2014}
}
Comments
14 pages. v2: Last section expanded. Published online in International Mathematics Research Notices 2014