A new 5-fold flop and derived equivalence

TL;DR

This paper introduces a novel 5-dimensional flop example where the contracting loci differ, and proves that the two sides are derived equivalent, advancing understanding of higher-dimensional birational geometry.

Contribution

It presents a new 5-dimensional flop example with non-isomorphic loci and establishes derived equivalence between the two sides.

Findings

New 5-dimensional flop example with non-isomorphic loci

Proof of derived equivalence for the new flop

Advances in higher-dimensional birational geometry

Abstract

We describe a new example of a flop in 5-dimensions, due to Roland Abuaf, with the nice feature that the contracting loci on either side are not isomorphic. We prove that the two sides are derived equivalent.