# Zero-cycles on Cancian-Frapporti surfaces

## TL;DR

This paper verifies Voisin's conjecture on 0-cycles for a specific family of surfaces of general type with particular invariants, expanding understanding of algebraic cycles on complex surfaces.

## Contribution

It proves Voisin's conjecture for a 3-dimensional family of surfaces with $p_g=q=2$ and $K^2=7$, constructed by Cancian and Frapporti.

## Key findings

- Voisin's conjecture holds for the studied family of surfaces.
- The paper confirms the conjecture for surfaces with specific invariants.
- It extends the class of surfaces known to satisfy Voisin's conjecture.

## Abstract

An old conjecture of Voisin describes how $0$-cycles on a surface $S$ should behave when pulled-back to the self-product $S^m$ for $m>p_g(S)$. We show that Voisin's conjecture is true for a $3$-dimensional family of surfaces of general type with $p_g=q=2$ and $K^2=7$ constructed by Cancian and Frapporti, and revisited by Pignatelli-Polizzi.