# A remark on the Chow ring of K\"uchle fourfolds of type $d3$

## TL;DR

This paper proves that K"uchle fourfolds of type d3 possess a multiplicative Chow-K"unneth decomposition, leading to new insights into their Chow ring structure.

## Contribution

It establishes the existence of a multiplicative Chow-K"unneth decomposition for K"uchle fourfolds of type d3, a novel result in the study of their algebraic cycles.

## Key findings

- Existence of multiplicative Chow-K"unneth decomposition for these fourfolds
- Consequences for the structure of their Chow ring
- Implications for algebraic cycle theory on K"uchle fourfolds

## Abstract

We prove that K\"uchle fourfolds $X$ of type d3 have a multiplicative Chow-K\"unneth decomposition. We present some consequences for the Chow ring of $X$.