# On the motive of Ito-Miura-Okawa-Ueda Calabi-Yau threefolds

## TL;DR

This paper proves that two Calabi-Yau threefolds, previously known to be L-equivalent and derived equivalent but not stably birational, also share the same Chow motive, deepening understanding of their geometric relations.

## Contribution

It establishes that the pair of Calabi-Yau threefolds have isomorphic Chow motives, completing the picture of their equivalences.

## Key findings

- X and Y are isomorphic in Chow motives.
- X and Y are L-equivalent and derived equivalent.
- X and Y are not stably birational.

## Abstract

Ito-Miura-Okawa-Ueda have constructed a pair of Calabi-Yau threefolds $X$ and $Y$ that are L-equivalent and derived equivalent, but not stably birational. We complete the picture by showing that $X$ and $Y$ have isomorphic Chow motives.