Derived equivalence of Ito-Miura-Okawa-Ueda Calabi-Yau 3-folds

TL;DR

This paper proves that certain Calabi-Yau threefolds constructed by Ito-Miura-Okawa-Ueda are derived equivalent, providing an example of non-birational Calabi-Yau varieties with specific Grothendieck ring properties.

Contribution

It establishes derived equivalence for a new class of Calabi-Yau threefolds, highlighting their non-birational nature and Grothendieck ring relations.

Findings

Derived equivalence of the specified Calabi-Yau threefolds.

Non-birationality of these Calabi-Yau varieties.

Difference in Grothendieck ring annihilated by the affine line.

Abstract

We prove derived equivalence of Calabi-Yau threefolds constructed by Ito-Miura-Okawa-Ueda as an example of non-birational Calabi-Yau varieties whose difference in the Grothendieck ring of varieties is annihilated by the affine line.