Zero-cycles on self-products of varieties: some elementary examples verifying Voisin's conjecture

Abstract

An old conjecture of Voisin describes how zero-cycles on a variety $X$ should behave when pulled-back to the self-product $X^m$ for $m$ larger than the geometric genus of $X$. Using complete intersections of quadrics, we give examples of varieties in any dimension and with arbitrarily high geometric genus that verify Voisin's conjecture.

7 pages, to appear in Boll. Unione Mat. Italiana, comments welcome !

References in corpus (4)

• On the Chow ring of Cynk-Hulek Calabi-Yau varieties and Schreieder varieties
• Algebraic cycles and Todorov surfaces
• Zero-cycles on self-products of surfaces: some new examples verifying Voisin's conjecture
• Algebraic cycles on Todorov surfaces of type $(2,12)$