Some Calabi-Yau fourfolds verifying Voisin's conjecture

TL;DR

This paper presents specific examples of Calabi-Yau fourfolds that support Voisin's conjecture on zero-cycles, contributing to the understanding of algebraic cycles in complex geometry.

Contribution

It provides explicit examples of Calabi-Yau fourfolds that verify Voisin's conjecture, advancing the study of zero-cycle behavior on these varieties.

Findings

Examples of Calabi-Yau fourfolds verifying Voisin's conjecture

Supports Bloch-Beilinson conjectures in specific cases

Enhances understanding of zero-cycle behavior on Calabi-Yau varieties

Abstract

Motivated by the Bloch-Beilinson conjectures, Voisin has made a conjecture concerning the behaviour of zero-cycles on self-products of Calabi-Yau varieties. This note contains some examples of Calabi-Yau fourfolds verifying Voisin's conjecture.